Hello, you have a second model S&W Safety Hammerless, caliber .38 S&W (not special .38) with a 3.5 "barrel, I have one with the serial number 10XXX made in 1888, so I think yours is from the same year, I shoot my revolver from time to time, keep in mind that they are 130-year-old weapons and were made to shoot cartridges loaded with black powder, the only ammunition I get in my country (Argentina) for this caliber is Magtech and if you want to shoot with his gun, I recommend that you clean it very well first and then check that all its mechanisms work properly, use ammunition with soft loads to take care of the integrity of the gun and for your safety, the revolver belonged to your father, so it must be A family heirloom, I hope this information is helpful.