IIRC, M2 Carbines were a selective fire (full auto), Class III weapon.
While "Carbine Williams" is credited in some circles with the development of the M1 Carbine, I've never heard of an M1 or M2 Carbine referred to as a "Carbine Williams" or "Williams Carbine".
Some pics, especially of the markings/stampings, would help to clarify what you were shown.
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