I will see if I can see anything on mine, as you mentioned before it could be for the power antenna or the power top on a convertible You also mentioned it is hot, is it hot wiht the door closed? Do you have the under-dash courtesy lights? They were standard at one point then removed and made an option to cut the cost of the car I just was reading on the changes during the year that the Firebird went through in a book from Rock Rotella, lots of good info for the first gen as reading material He also has a great Pontiac blog