66 charger console glove box light

The push button switch on the console glove box has a wire hanging from it not connected. The glove box light works and I know this switch is supposed to break the circuit but where does it go? I have the bulb removed as it would burn all the time. No wiring diagram I have found shows this light wiring, even the shop manual schematics. Can anyone help? Does it just to to ground?

It is pretty short and comes through the hole in the front of the rear half of the console. It usually falls in the hole and you have to take the front console out and re-fish the wire through the hole in the rear console, etc. I was replacing the switch in the winter charger and it fell through the hole. I will fish it out in the spring if I really miss the console light that much.

Thanks Jeremiah, but I am not sure you know what I am asking. The existing light connector is through the hole, and I agree it is a pain if it falls through, but the single wire from the push button that has to be pushed to open the console glovebox is just dangling there. My question is where does this wire go? There is nowhere on the light bulb connector that comes through the "hole" for this wire to connect to. This should work like a normal glove box light switch but I dont know where to connect it? Thanks

does it have two terminals? I'd say it probably does.
Now if the light is on all the time, that tells you that you have a completed circuit from power to bulb then to ground(ground most likely utilizes socket to dash connection)
So pull the switch and do an OHM test on it. I would expect to find continuity whih the switch in the out position, where it would be with the glove box door open.
And no conductivity with the switch pushed in, like with the glove box door closed. If that is the case take the power wire that goes to the scoket and run it to the switch and then from the other terminal from switch to scoket.
Now you will have a switched bulb. Its the same way your dome light, trunk light an under hood light would work.

you're welcome