Whats under the crane is pretty meaningless.
It is probably either a partial serial number, or an assembly number.
The real complete Serial Number is stamped on the bottom of the butt.
The caliber is stamped on the right side of the barrel.
If it says "32 Winchester CTG", it is a 32-20 WCF.
If it says "Smith & Wesson 32 Long CTG", it is that.
rc