Your gun is a .32 Safety Hammerless, 1st Model. It is chambered for the .32 S&W, which is not the same as .32 S&W Long. The left side of barrel should be stamped ".32 S&W CTG". If your gun is mechanically sound and works properly, it would be perfectly safe to fire. While not particularly cheap, .32 S&W can be easily located on many ammo web sites. You probably won't find it in your local gun shop.