I have an S&W 38 special CTG. A model 10, I think.. Have had it about 34 years. Walnut right-handed grips. I shoot left-handed. Used to be able to compensate, but it's a heavy bugger, and the older I get, the less accurate I get. Need to find left-handed grips. But not sure that it is a model 10. No numbers on the butt, just the inside left when the cylinder is open.

Pictures would really help. I assume you're talking about some sort of aftermarket grips. The serial number should be on the bottom of the butt.

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Herretts makes lefthanded target grips. More expensive now than they were in 1980.
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