Every supply shop is stumped. Possible very old American Standard due to its 22 spline broach. I am also leaning towards Gopher due to similarity of appearance to some seats I found online.
This is the shower:
The stem is just over 5" (but I don't need one that long) and was chrome decades ago. The stem is actually good now, but I would like to replace it for appearance purposes. The washer head on the end of the stem swivels so the seal does not spin with the handle.
Also mainly need seats, it is 1.125" long and threads were probably 1/2" maybe bigger. The seat is cracked and leaks through the side. Threads inside actually look decent even though the seat's threads are shot. And they are so shot it is hard to guestimate the pitch but I would say 24 if I had to make a guess.



