Raimey,
My estimate of between 1893 and 1912 fits with that period.

Cold1,
Old 9.3x72R ammo was made with .254" M72 Berdan primers that did not require as much firing pin impact to ignite as modern primers do. You might want to load your own ammo with large pistol standard force primers, seated below flush because they are not as thick as rifle primers. If this doesn't work or you don't want to handload, you might need to have a stronger striker spring installed. This was a pretty common problem with older drillings.
Mike