Langanobob, thanks, I will try that too. Did you take all three screws out and clean them with something? Also, did you also clean the threads they screw in to? What did you use to clean whatever varnish you referenced?
Also, for anyone who knows, if I remove the plug from the back of the dash (it has five total wires going into it as you can see from the picture I posted above), could I clip an alligator clip wire on to the post for the temperature sensor wire and ground it to the engine block and turn the key? Would that get the gauge to go to hot and help me determine if the gauge is the problem or the wire?