diff --git a/src/main/java/com/fasterxml/jackson/datatype/joda/deser/DateMidnightDeserializer.java b/src/main/java/com/fasterxml/jackson/datatype/joda/deser/DateMidnightDeserializer.java
index 7935cd4b..9820a253 100644
--- a/src/main/java/com/fasterxml/jackson/datatype/joda/deser/DateMidnightDeserializer.java
+++ b/src/main/java/com/fasterxml/jackson/datatype/joda/deser/DateMidnightDeserializer.java
@@ -9,6 +9,8 @@
 import com.fasterxml.jackson.core.JsonParser;
 import com.fasterxml.jackson.core.JsonToken;
 import com.fasterxml.jackson.core.JsonTokenId;
+import com.fasterxml.jackson.core.StreamReadCapability;
+import com.fasterxml.jackson.core.io.NumberInput;
 import com.fasterxml.jackson.databind.DeserializationContext;
 import com.fasterxml.jackson.datatype.joda.cfg.FormatConfig;
 import com.fasterxml.jackson.datatype.joda.cfg.JacksonJodaDateFormat;
@@ -45,7 +47,6 @@ public JodaDateDeserializerBase<?> withFormat(JacksonJodaDateFormat format) {
     public DateMidnight deserialize(JsonParser p, DeserializationContext ctxt)
         throws IOException
     {
-    	
         // We'll accept either long (timestamp) or array:
         if (p.isExpectedStartArrayToken()) {
             p.nextToken(); // VALUE_NUMBER_INT
@@ -55,7 +56,7 @@ public DateMidnight deserialize(JsonParser p, DeserializationContext ctxt)
             p.nextToken(); // VALUE_NUMBER_INT
             int day = p.getIntValue();
             if (p.nextToken() != JsonToken.END_ARRAY) {
-                throw ctxt.wrongTokenException(p, JsonToken.END_ARRAY,
+                throw ctxt.wrongTokenException(p, handledType(), JsonToken.END_ARRAY,
                         "after DateMidnight ints");
             }
             DateTimeZone tz = _format.isTimezoneExplicit() ? _format.getTimeZone() : DateTimeZone.forTimeZone(ctxt.getTimeZone());
@@ -70,6 +71,12 @@ public DateMidnight deserialize(JsonParser p, DeserializationContext ctxt)
             if (str.length() == 0) { // [JACKSON-360]
                 return null;
             }
+            // 14-Jul-2020: [datatype-joda#117] Should allow use of "Timestamp as String" for
+            //     some textual formats
+            if (ctxt.isEnabled(StreamReadCapability.UNTYPED_SCALARS)
+                    && _isValidTimestampString(str)) {
+                return new DateMidnight(NumberInput.parseLong(str));
+            }
             LocalDate local = _format.createParser(ctxt).parseLocalDate(str);
             if (local == null) {
                 return null;
@@ -80,4 +87,9 @@ public DateMidnight deserialize(JsonParser p, DeserializationContext ctxt)
         throw ctxt.wrongTokenException(p, handledType(), JsonToken.START_ARRAY,
                 "expected JSON Array, Number or String");
     }
-}
\ No newline at end of file
+
+    protected DateMidnight _fromTimestamp(DeserializationContext ctxt, long ts) {
+        return new DateMidnight(ts);
+    }
+
+}
diff --git a/src/main/java/com/fasterxml/jackson/datatype/joda/deser/InstantDeserializer.java b/src/main/java/com/fasterxml/jackson/datatype/joda/deser/InstantDeserializer.java
index 884a9262..3a7b1e9e 100644
--- a/src/main/java/com/fasterxml/jackson/datatype/joda/deser/InstantDeserializer.java
+++ b/src/main/java/com/fasterxml/jackson/datatype/joda/deser/InstantDeserializer.java
@@ -5,7 +5,7 @@
 import org.joda.time.Instant;
 
 import com.fasterxml.jackson.core.*;
-
+import com.fasterxml.jackson.core.io.NumberInput;
 import com.fasterxml.jackson.databind.*;
 import com.fasterxml.jackson.datatype.joda.cfg.FormatConfig;
 import com.fasterxml.jackson.datatype.joda.cfg.JacksonJodaDateFormat;
@@ -44,6 +44,12 @@ public Instant deserialize(JsonParser p, DeserializationContext ctxt) throws IOE
             if (str.length() == 0) {
                 return getNullValue(ctxt);
             }
+            // 14-Jul-2020: [datatype-joda#117] Should allow use of "Timestamp as String" for
+            //     some textual formats
+            if (ctxt.isEnabled(StreamReadCapability.UNTYPED_SCALARS)
+                    && _isValidTimestampString(str)) {
+                return new Instant(NumberInput.parseLong(str));
+            }
             // 11-Sep-2018, tatu: `DateTimeDeserializer` allows timezone inclusion in brackets;
             //    should that be checked here too?
             return Instant.parse(str, _format.createParser(ctxt));
diff --git a/src/main/java/com/fasterxml/jackson/datatype/joda/deser/LocalDateDeserializer.java b/src/main/java/com/fasterxml/jackson/datatype/joda/deser/LocalDateDeserializer.java
index d1294672..ef3f30ed 100644
--- a/src/main/java/com/fasterxml/jackson/datatype/joda/deser/LocalDateDeserializer.java
+++ b/src/main/java/com/fasterxml/jackson/datatype/joda/deser/LocalDateDeserializer.java
@@ -8,7 +8,8 @@
 import com.fasterxml.jackson.core.JsonParser;
 import com.fasterxml.jackson.core.JsonToken;
 import com.fasterxml.jackson.core.JsonTokenId;
-
+import com.fasterxml.jackson.core.StreamReadCapability;
+import com.fasterxml.jackson.core.io.NumberInput;
 import com.fasterxml.jackson.databind.DeserializationContext;
 import com.fasterxml.jackson.datatype.joda.cfg.FormatConfig;
 import com.fasterxml.jackson.datatype.joda.cfg.JacksonJodaDateFormat;
@@ -37,13 +38,18 @@ public LocalDate deserialize(JsonParser p, DeserializationContext ctxt) throws I
         switch (p.currentTokenId()) {
         case JsonTokenId.ID_STRING:
             String str = p.getText().trim();
-            return (str.length() == 0) ? null
-                    : _format.createParser(ctxt).parseLocalDate(str);
-        case JsonTokenId.ID_NUMBER_INT:
-            {
-                DateTimeZone tz = _format.isTimezoneExplicit() ? _format.getTimeZone() : DateTimeZone.forTimeZone(ctxt.getTimeZone());
-                return new LocalDate(p.getLongValue(), tz);
+            if (str.length() == 0) {
+                return getNullValue(ctxt);
+            }
+            // 14-Jul-2020: [datatype-joda#117] Should allow use of "Timestamp as String" for
+            //     some textual formats
+            if (ctxt.isEnabled(StreamReadCapability.UNTYPED_SCALARS)
+                    && _isValidTimestampString(str)) {
+                return _fromTimestamp(ctxt, NumberInput.parseLong(str));
             }
+            return _format.createParser(ctxt).parseLocalDate(str);
+        case JsonTokenId.ID_NUMBER_INT:
+            return _fromTimestamp(ctxt, p.getLongValue());
         case JsonTokenId.ID_START_ARRAY:
             // [yyyy,mm,dd] or ["yyyy","mm","dd"]
             int year = p.nextIntValue(-1); // fast speculative case
@@ -63,7 +69,13 @@ public LocalDate deserialize(JsonParser p, DeserializationContext ctxt) throws I
             }
             return new LocalDate(year, month, day);
         }
-        return (LocalDate) ctxt.handleUnexpectedToken(handledType(), p.getCurrentToken(), p,
+        return (LocalDate) ctxt.handleUnexpectedToken(handledType(), p.currentToken(), p,
                 "expected String, Number or JSON Array");
     }
+
+    protected LocalDate _fromTimestamp(DeserializationContext ctxt, long ts) {
+        DateTimeZone tz = _format.isTimezoneExplicit() ? _format.getTimeZone()
+                : DateTimeZone.forTimeZone(ctxt.getTimeZone());
+        return new LocalDate(ts, tz);
+    }
 }
diff --git a/src/main/java/com/fasterxml/jackson/datatype/joda/deser/LocalDateTimeDeserializer.java b/src/main/java/com/fasterxml/jackson/datatype/joda/deser/LocalDateTimeDeserializer.java
index 7a497c45..84226e70 100644
--- a/src/main/java/com/fasterxml/jackson/datatype/joda/deser/LocalDateTimeDeserializer.java
+++ b/src/main/java/com/fasterxml/jackson/datatype/joda/deser/LocalDateTimeDeserializer.java
@@ -6,7 +6,7 @@
 import org.joda.time.LocalDateTime;
 
 import com.fasterxml.jackson.core.*;
-
+import com.fasterxml.jackson.core.io.NumberInput;
 import com.fasterxml.jackson.databind.DeserializationContext;
 import com.fasterxml.jackson.datatype.joda.cfg.FormatConfig;
 import com.fasterxml.jackson.datatype.joda.cfg.JacksonJodaDateFormat;
@@ -37,14 +37,19 @@ public LocalDateTime deserialize(JsonParser p, DeserializationContext ctxt)
         case JsonTokenId.ID_STRING:
             {
                 String str = p.getText().trim();
-                return (str.length() == 0) ? null
-                        : _format.createParser(ctxt).parseLocalDateTime(str);
+                if (str.length() == 0) {
+                    return getNullValue(ctxt);
+                }
+                // 14-Jul-2020: [datatype-joda#117] Should allow use of "Timestamp as String" for
+                //     some textual formats
+                if (ctxt.isEnabled(StreamReadCapability.UNTYPED_SCALARS)
+                        && _isValidTimestampString(str)) {
+                    return _fromTimestamp(ctxt, NumberInput.parseLong(str));
+                }
+                return _format.createParser(ctxt).parseLocalDateTime(str);
             }
         case JsonTokenId.ID_NUMBER_INT:
-            {
-                DateTimeZone tz = _format.isTimezoneExplicit() ? _format.getTimeZone() : DateTimeZone.forTimeZone(ctxt.getTimeZone());
-                return new LocalDateTime(p.getLongValue(), tz);
-            }
+            return _fromTimestamp(ctxt, p.getLongValue());
         case JsonTokenId.ID_START_ARRAY:
             // [yyyy,mm,dd,hh,MM,ss,ms]
             JsonToken t = p.nextToken();
@@ -82,7 +87,13 @@ public LocalDateTime deserialize(JsonParser p, DeserializationContext ctxt)
             throw ctxt.wrongTokenException(p, handledType(), JsonToken.END_ARRAY, "after LocalDateTime ints");
         default:
         }
-        return (LocalDateTime) ctxt.handleUnexpectedToken(handledType(), p.getCurrentToken(), p,
+        return (LocalDateTime) ctxt.handleUnexpectedToken(handledType(), p.currentToken(), p,
             "expected String, Number or JSON Array");
     }
+
+    protected LocalDateTime _fromTimestamp(DeserializationContext ctxt, long ts) {
+        DateTimeZone tz = _format.isTimezoneExplicit() ? _format.getTimeZone()
+                : DateTimeZone.forTimeZone(ctxt.getTimeZone());
+        return new LocalDateTime(ts, tz);
+    }
 }
diff --git a/src/main/java/com/fasterxml/jackson/datatype/joda/deser/LocalTimeDeserializer.java b/src/main/java/com/fasterxml/jackson/datatype/joda/deser/LocalTimeDeserializer.java
index 9f0b6d47..d0191295 100644
--- a/src/main/java/com/fasterxml/jackson/datatype/joda/deser/LocalTimeDeserializer.java
+++ b/src/main/java/com/fasterxml/jackson/datatype/joda/deser/LocalTimeDeserializer.java
@@ -7,6 +7,8 @@
 import com.fasterxml.jackson.core.JsonParser;
 import com.fasterxml.jackson.core.JsonToken;
 import com.fasterxml.jackson.core.JsonTokenId;
+import com.fasterxml.jackson.core.StreamReadCapability;
+import com.fasterxml.jackson.core.io.NumberInput;
 import com.fasterxml.jackson.databind.DeserializationContext;
 import com.fasterxml.jackson.datatype.joda.cfg.FormatConfig;
 import com.fasterxml.jackson.datatype.joda.cfg.JacksonJodaDateFormat;
@@ -41,6 +43,12 @@ public LocalTime deserialize(JsonParser p, DeserializationContext ctxt)
             if (str.length() == 0) {
                 return getNullValue(ctxt);
             }
+            // 14-Jul-2020: [datatype-joda#117] Should allow use of "Timestamp as String" for
+            //     some textual formats
+            if (ctxt.isEnabled(StreamReadCapability.UNTYPED_SCALARS)
+                    && _isValidTimestampString(str)) {
+                return new LocalTime(NumberInput.parseLong(str));
+            }
             return _format.createParser(ctxt).parseLocalTime(str);
         default:
         }