So, I picked this thing up hoping that it just needed a change of batteries. After I got it home, I tried the "fast flick" with the power, nothing.
I replaced the battery holder, because it seemed the corrosion had held to that. I didn't notice any corrosion under the holder, or on the back of the board. I again tried to reset the machine quickly, and still nothing.
Next, I replaced the 5101 ram chip. Still nothing. Hearing that boards can sometimes reject a chip (not sure where I read that), I bought a couple more to be sure. I also replaced the switching diode just above it. I'm getting 4.7v to the diode - and I actually ran some other tests between various pins on the 5101 and everything seems to check out. Is there anything I'm missing?
My next guess is the 40-pin