Guys,
I have an update. I removed the side markers from the vehicle, but left them connected, so they were just hanging in mid air. The results was when I switched the lights on, they came on and did not blow the fuse. Installed one of the markers on the vehicle, turned on the lights, and it immediately blew the fuse. You two probably already suspected, but it turns out that the case was grounding out against the fender. I remedied that, so the problem is solved.
Thanks to the both of you for all your knowlege, advice, recommendations, and assistance
