Patrick,
According to the markings on your gun, it was indeed a 2 1/2" 12 ga. with 1 1/8 oz. Birmingham nitro proofs. The bore diameter at the time of proof was .719" The right barrel has no choke and the left does.
Now you just need to check and see if the chambers were lengthened with one of the methods above. The small machinists slide rule works well and is cheap to acquire.