1999 Pontiac Firebird possible grounding problem?

The passenger side running light/blinker socket keeps burning up. I had it replaced and within a week it was burned again. I also had to have my alternator replaced at the same time as the socket. A friend told me that it could be that my coil needs to be grounded better. I don't know if this is true but it sounds logical. Any ideas? The car runs great and I haven't had any other problems.