Welcome. I found the data table message like this:
dt = open("$SAMPLE_DATA/big class.jmp");
showProperties( dt );
Begin Data Update [Action] [Scripting Only]
Clear Column Selection [Action] [Scripting Only]
Recode [Action] [Scripting Only]
...
Copy Multi Columns Properties [Action] [Scripting Only]
Paste Multi Columns Properties [Action] [Scripting Only]
Get Labeled Rows [Action] [Scripting Only]
Get Name [Action] [Scripting Only]
Get Path [Action] [Scripting Only]
Get Property [Action] [Scripting Only]
Get Row States [Action] [Scripting Only]
Get Rows Where [Action] [Scripting Only]
...
The data table is a scriptable object in JMP. The Show Properties function works with any scriptable object. The list is the set of messages the data table responds to. There is more information, and a similar list, in the Help->Scripting Index.
If you know a keyword, like "path", you can narrow the search:
The scripting index can search just Objects, just Functions, just Display boxes, or all three. In this case, picking Objects, then Data Table, makes it easier because there are a number of Functions and Display boxes that know something about a path as well.
Craige