I wanted to thank everybody who responded to this post for all of the great ideas. Today the problem was resolved! I took the car to a local repair facility and they were able to diagnose the problem quickly. It turns out the number 6 wire to the fuse box was being energized all the time. It should only be energized with the key on.

In any case, the shop was able to quickly diagnose the problem because with everyones help I was able to rule out many of the potential problems.

Thanks, again, to everyone who took time to post here and help. I really appreciate all of your help.

Happy new year.