Thanks again, Ray. I was able to download Atwood's manuals while taking advantage of our friend's WiFi. From my first view it seemed to say "If this doesn't fix the problem, then try this" type approach.
If I had a muti-meter, and knew how to understand one if I did have one, maybe it would make a difference. So, since I have already had the replacement parts delivered to my next stop in Raliegh, I'm gonna replace the Electronic Cut Off and T-Stat first to see if that's the problem. If that doesn't work, I'm on to the circuit board.
I'll post when I hopefully resolve the problem and what was the fix.