I have an original 1954 switch. It has only 2 positions: on/off. There are three terminals on the switch, but only 2 were used. So, I expect that since you have a reproduction with 3 positions on the switch, the terminals are different from the original. IOW, don't be surprised if the "middle" terminal is not BAT.
I would sit down with your new switch and your VOM set to ohms and try all the combinations of connections until you find the one that works.
