Agree completely with
@TURBO200R4. Also now that we know the orientation of the sending unit, (normally closed) the 4 points I made in post #47 are still true and haven't been completely checked out yet and I will reiterate, a loose screw won't turn the light on!!!!!
Enough comments from me on this post.... I'm done. Chip, you need to at least try some of the recommendations we are proposing. Simply removing the sending unit, changing the screw and reinstalling won't correct the problem. The only thing you did was move the wire around which could have been chaffed causing it to ground out at times and turn on the light. If so, moving it might have solved the problem until the wire contacts the frame again.... just saying. I think you solved a symptom but not the underlying problem.