It sounds like you have a "Pre 24", which is a 44 Hand Ejector 4th Model Target. The S/N would put it shipped around 1953-54. It should be a 5 screw, with the S&W Logo on the side plate. 4" barrel Pre24's are more scarce than 6 1/2" barrel guns. Depending on condition it can be a fine carry gun, albeit a little heavy, but a fine stopper. These models are quite collectible, and again, depending on condition, may command a fairly decent price.