Thankyou Scuzzb, that is a help, im sure it's prob a through hole that was missed when it went through the wave, as many are filled. I may fill it when I put in the patch wire. Another question, are the chips replaceable? I can find them online, 74LS244N, so can I just swap one out for a new one?
Glad you managed to get the battery off, hope the board is ok 
I am not sure whether you can desolder the fixed chips and replace in truth. I am sure someone else here could advise on that. I wouldn't have thought it was a problem though for me I would be swapping out the motherboard because you are hoping to fix a problem that may in truth just expose another. I have spent way too much time trying to get busted kit working just to find its a hopeless case. Saying that I tend not to give up and do come back to problems over and over.
Keep a search open on Ebay and watch for old 500s [ busted and broken ] to appear and snaffle what you can for as cheap as you can. Having spares is always very useful.
Your photography and cleaning processes are excellent. I trust you are going to try an make a log of your efforts and create a little web page for it. That way others can learn from your experience.
Matters not in the end whether you are successful or not in truth as long as you enjoy yourself. Getting the Amiga working again would be a real bonus. So I hope you are successful. Don't give up.. but maybe do some sideways thinking [ get some spares ]