Welcome to the forums from the Wiregrass! It's a .32 Double Action, 4th Model. They were made from 1883-1909 with yours being somewhere around the early years likely 1885-6. S&W made 239,600 of the 4th model over that time frame. It is an antique and we like pictures .
Just to help you with proof of antique status, here is the BATF letter that identifies the last serial number for antique status for the 32 Double Action.