Need help identifying 1950s Kohler shower faucet

I’m looking replacement stems that are compatible with the existing valve and handles. Local hardware stores don’t seem to have many Kohler replacement stems in stock at the moment, so I’m trying to gather as much information before resorting to shutting off the supply to take the stems out and measure them. I’m seeing similar vintage Kohler faucets online, but none with the smooth face on the handles. My hope is to find a parts diagram that show what kind of stems are used.

Any help would be appreciated, thank you!

 

For a after market rebuild search " Kohler RBK0124 "
For original parts rebuild search " Kohler 0317042KIT "