Actually we are in luck, because while Smith & Wesson made a lot of different .32 model revolvers, they only made three that were a six-shot/hand ejector/Winchester .32 Ctg. and the serial number pin-points which one.
The official model description is: S&W 32-20 Hand Ejector, Model of 1905, 2nd. Change.
This variant was made during 1906 and '07, within a serial number range running from 33,501 to 45,200.
The .32-20 cartridge was originally introduced by Winchester for use in they're lever action rifles and carbines, but both S&W and Colt offered revolvers that could fire the same round. This made it possible to carry both a rifle and handgun that used the same cartridge.
These revolvers had 4, 5, 6 or 6 1/2 inch barrels, and either a round or square butt. Note that they did not have heat-treated cylinders. Value depends on condition.
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