This one has a manual crank up hood. The only switches are the on/off speed, the t-stat, and the rotation direction switch. The motor appears to be getting power, so at this point I'd guess that that is the problem. I will hook it up to an alternative power source just for the heck of it though.
This one must be older than that since there is no such button. However, the problem is solved. I finally got a little less lazy and braved the current heat wave on the roof. It turns out that one lead goes direct from the switch to the motor. The other, for some reason is joined at a threaded post with a nut. That was a bit corroded, similar to the classic bad ground issue. I guess I will go back up this evening when the sun is more hospitable to clean and put things back together.