Looks like an S&W .38 Special revolver, earlier called the M&P but later called Model 10, with some aftermarket grips.
(An aside; When did the first model numbers for a Model 10 get stamped under the yoke, was it at the onset of the number designation or after various changes started happening like the Model 19-1, 19-2, etc.?) It doesn’t sound like this gun has a model number stamped on the frame underneath the yoke.
My M&P .38 Special from the 1940’s also has a pinned barrel with a similar slim profile, but mine uses a different font for the ampersand (&) in Smith & Wesson. So the OP’s revolver is from a later era as
@ArchAngelCD posted above.
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Stay safe.