I think this is right. Typically once the file system has opened a file, it doesn't care nor keep track of the text string that was used to open the file in the first place.

So, if the OP means "what was the text file "name/path" for this filehandle?, the user program would have to keep track of that name/path which is what these modules appear to do. There are weird sorts of situations that can arise, but it doesn't sound like further elaboration is needed.

As a practical debugging matter, I would just add a print statement with that info for debugging or make a log entry of some sort. Or print the $name that was used in the open() in the debugger rather than trying to make sense of the filehandle structure.