Can you provide some tech info on the up/down switch? Single-pole double-throw? like the gear motor switch? Are 1&2 (NC) connected then 1&3 when you press?
The black will be your common, if there are numbers next to the white wires, number 2 would be normally closed and number 3 would be normally open. So between the black and number 2 there should be continuity when not in use and when you push on the switch then black to 3 will be closed and black to 2 will be open. The wires that go to the gear motor are the 2 white which 2 would go to NC and 3 to NO.