Needing Help Getting Vintage Wig-Wag License Topper Working

[OL JENNY]

I have a vintage Wig-Wag License Topper that will wig, but not wag. I have secured a couple of the wires, but I obviously have not achieved something correct to have it wag back and forth. I do not understand the mechanism to create the magnetic pull and then the release for the spring to go back to the neutral position for the opposite magnetic pull. I have removed the bulb and wiring for now, that would be an easy fix if the movement mechanism can be repaired.
I have been able to do many previous wiring projects, but this one has exceeded my limited abilities. Does anyone know of someone who might be able to evaluate and hopefully repair this vintage accessory.