The Marquee light fixture is pretty simple and is made up of only a few parts. The Sockets, Starter, Ballast and the Fluorescent Tube. You can read up more on how Fluorescent lights work Fluorescent Lighting.
Since the light was lighting up, I could rule out a bad Tube (sort of).
The first thing I did was I replaced the Tube to make sure it wasn't that. Since it was lighting up, I just swapped them. If the light had not been on, I would have checked the Ballast first.
I put the new tube in and got the same results. I can now eliminate the Tube as the source of the problem. Since the tube was good, I went ahead and checked the Ballast using my Multi-Meter. It checked out good.