Given the serial number that you sent me, 35XXX, I'd say your gun was made in either 1889 or 1890.
As Jim surmised, the serial number makes it a 2nd model.
This definitely puts them in the "black powder" category for ammo. Later guns were a little stronger, given the higher pressures generated by smokeless.
You can find parts for these guns, but some of the parts on the 2nd models are a little different, and as it's older, are harder to find.
If you do decide to shoot it, only shoot it with VERY light loads of smokeless powder, and quite frankly I don't think I'd shoot it at all.
"The gift which I am sending you is called a dog, and is in fact the most precious and valuable possession of mankind" -Theodorus Gaza
Baby Jesus cries when the fat redneck doesn't have military-grade firepower.