I have one. Maybe. I believe the TG-0 had a plain headstock with the Gibson logo, while the TG-1 had decorative headstock inlays and fretboard binding. The one that I have does not have the binding. My best guess on the year is 1931. It was given to my grandpa because it was broken, and he repaired it to playable condition. Perhaps that's why there's no binding on the fretboard.
As Jeff said, the neck is skinny and banjo-like. From what I've heard, the TG came about because banjos were going out-of-fashion at the time, so they made a guitar that appealed to a banjo player.
I agree that it's a specialty guitar, and would be a good choice if you're looking for an alternative to another 6-string. They're traditionally tuned to GDAE or CGDA.