Welcome aboard from ol' Wyo.
You have a S&W .38 Bodyguard Model 38 or Model 49 from about 1985.
Does the right side of the barrel say "Airweight" above the caliber?
The frame in the yoke cut -- where the yoke fits when the cylinder is rolled in -- should be stamped either MOD. 38 or MOD. 49. Both are Bodyguard models, the MOD. 38 being the Airweight.