billcarey: You appear to have a .32 Hand Ejector Model of 1903 - 1st Change. That particular variation was manufactured from 1904 to 1906, about 50 or so years before S&W started assigning model numbers. When they did, this gun (with some modifications, of course) became the Models 30 and 31.
Flyfish, thanks for the info. This was purchased new by my great grandfather and passed to me by one of his daughters about 20 yrs ago. It shows little use but has some pitting on one side of the cyl. Is this a black powder gun? It's only been a display gun for me and I've never fired it.