37 Riviera Stop Switch wiring for QSB 5.9

One of the stop switches for our Riviera does not appear to be connected. The side that is connected works just fine.    I am shutting down both engines currently by switching off the “ignition” switches.  

There is some wiring that was not connected to anything (loose in the console) near the disconnected switch that looks as though it is part of that circuitry, but the conduit does not have a label.   The wiring for the working side does have a label.

If this is the stop switch wiring, I would like to reattach everything, but I do not have a schematic. If someone knows how I can appropriately test to see if this is indeed the stop switch wiring, that would be very helpful.  I am not planning to connect and guess.  If there is a real way to test it, that would obviously be the way to go.  I can use a VOM, test light, etc.

I have provided some pictures of what the back of the instrument panel looks like, along with a picture of the non connected wiring.

Any information would be very helpful.
Thanks to all.