Not .41 Short. The case length is way too long.
.41 Short case was just under a half inch long.
That case appears to be over 1 inch long.
EDIT IN:
Oh hell, ignore that, I was looking at the CM scale... just saw the inch scale.
OK, that said, the bullet profile is more indicative of the .41 Short Rimfire than any of the other rimfire cartridges.
The .41 traditionally had a much sharper ogive than any of the other rimfire pistol cartridges that were in production at that time.
It seems to have been almost a trademark for the cartridge, in much the same way that the flat point was almost a trademark for the .44 Henry cartridge.
Finally, and I'm away from my reference books at the time, but I believe that the .38 Short Rimfire cartridge case was slightly longer than the .41 Short's case.