As mentioned earlier, the Bally system is slightly different than what's described in the diagram. The bare wire is the 6.5v lamp bus, and the insulated wire goes to the lamp board whose SCR's give the bulb tip a path to ground.
You should not have continuity between ANY of the terminals on the socket. Do you by chance have a bulb installed? 44/47 bulbs have extremely low resistance and would probably read as continuity on most meters.
Lug B is completely isolated and is provided as a solder point for a diode used in a matrix based system.
Correct wiring is bare bus wire connected to C, insulated ground wire to A.