Anyone Know What this Connector is Called?

gage zamrzla said

Old gauge is crispy now in the back side. My belief if that had the connection been secure and not coming in and out the inside of the gauge wouldn't have melted together and shorted and I may not have had this problem to begin with though like I mentioned I'm pretty green so I could be mistaken.

Could someone suggest why the positive wire would be fried but the black connecting to the battery circuit wouldn't be?

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Its hard to see the exact construction from the one photo and I don't know '63s.
Slight possibility some small piece of metal was touching the connecting plate and creating a short to ground.

Seems more likely the metal plate connecting the studs wasn't as well attached to the one.
On some ammeters it is possible to solder the stud to plate connections that were originally just press fit.
On some ammeters the stud to plate connection depends somewhat on the plastic housing - and if they get hot and flow, then they can get loose.