Battery charges from complete drain, but fails to start.

About a month ago my AC Charger had a stuck pin. We were in the middle of a move when the adapter failed entirely, so after the machine whent into safe sleep mode, I left it be for the following month until I got a knock-off magsafe.

The knockoff magsafe didn't quite work as expected. The moment that it was plugged in the green indicator turned on, despite that it wasn't plugged into the computer. After an hour the indicator finally switched to amber and the battery started to charge according to the "christmas lights" charge indicator on the side.

However, the computer never came back to life. I tried resetting SMC and PRAM, but still nothing. I purchased an Apple charger as a last-ditch effort. As expected, the computer still failed to start.

The battery is now completely charged, and has been plugged in for the entire day. I am starting to loose faith that it will start on it's own.

I cannot find any information on this. There are lots of issues dealing with MBP that won't start, or won't take a charge, but nothing about a macbook pro that won't start but does take a charge.

Is there some magic "reset the universe" button somewhere inside? Or am I looking at a motherboard replacement?