It's a .38/32 Terrier, later called the model 32. The number on the bottom of the grip frame makes it a post-WW II gun but prior to 1957. It is an Improved I frame, similar to but slightly smaller than the J. The 71335 should match the number on the rear cylinder face; the 88793 on the frame and yoke (crane) are factory internal codes used during assembly.

It would be a very unusual coincidence for the assembly and cylinder numbers to match if the cylinder was swapped out, so I would double-check that. With the pitted bore and chambers I think its value would be much lower than the surface finish seems to indicate.

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Alan
SWCA LM 2023, SWHF 220