Vick, I built a board which looks like yours over 20 years ago for a 80C86. The lack of a ground plane caused such high impedance that the signal edges were ringing, causing multiple interrupts and all other sorts of problems. I solved it by making a crude ground plane from copper tape backed with plastic on the bottom of the board. I soldered each return pin of each IC to this plane. No, it wasn't perfect but the ringing went away and the board worked. This would be easy to do with you board. Good luck.