Hi Jason,
Welcome to this forum.
If it's a S&W hand ejector (side-swing cylinder), it wouldn't be roll stamped .32 cal. It would be stamped 32 S&W Long or 32-20 (WCF) Cartridge and it wouldn't have a model # until after 1957, only a model name which is only stamped on the 38 Regulation Police model.
If it's a side swing 32 S&W Long, and you took the serial from the butt of the grip frame or one of 5 other locations except the hinge, it could be a an 1896 or a 1903 model I frame. Or if a 32-20 (WCF) it could be a K frame 1902 Model.
If a single action top break, 5 shot, a tip up, or double action top break, you need to post in the Antique section of this forum.