Board Thread:Questions and Answers/@comment-918732-20160414170412/@comment-918732-20160421183622

And to be complete:

On Earth-Two, no woman named Thelma Gordon is known to have existed. Barbara Gordon was the wife of Commissioner Jim Gordon and the mother of Tony Gordon.

On Prime Earth, no woman named Thelma Gordon is known to exist. Barbara Eileen Gordon is the ex-wife Commissioner Jim Gordon and the mother of Barbara Joan Gordon and James Gordon, Jr.