Original length 32-40 cases should be 2.125-.130", which is a little longer than 52mm. A chamber cast would be necessary to put a name on the cartridge. Since there are sample cases and bullets, it can be used with out it. It shouldn't be necessary to rebore it for 32-40, especially for lead bullets, the 8.15x46R chamber should clean up with a 32-40 reamer. I mentioned original length cases above, current 32-40 ammo is loaded in 30-30( 2.080") length cases. If it turns out to be 8.15x52R, I would guess it was rechambered in Germany; if 32-40, then the USA. There are possible differences in rim thickness, but most people think rim thickness should be adjusted from the front, so the still existing 30-30 headstamp is not a clue.
Mike