I have this exact same pistol. Bit of history - my dad inherited it from his dad. The age of this pistol must go back aways. My dad said this was a .32 cal, also. When I began competition shooting, I decided to look at this pistol & noticed at full cock (with hammer fully under my thumb in the cocked position), there was noticeable play in the cylinder. I was afraid if he tried to shoot it, it might misfire & blow up in his face. He got a shotgun. On this pistol, I see markings on the top of the barrel (which can only be seen under a magnifying glass):

"SMITH & WESSON SPRNGFIELD MASS. U.S.A. PAT'D JAN. 24. 65 JULY 11, 65, AUG. 24, 69. REISSUE JULY 25, 71, MAY 11,80, JAN. 3, 82"

These are really hard numbers/engravings to see even under a magnifying glass, and I can't swear that I got those numbers exactly right. I collect firearms, but I'll keep dad's dad's .32 S&W till I die. The action on it is still sweet, & the play isn't that bad - I wanted dad to get a more modern weapon.

Good luck.