The battery not charging.
I recently bought a used Macbook A1181 also with the issue of the battery not charging. I found this site today and will be taking the steps of replacing the magsafe port and the battery connector. From what I have tested thus far by purchasing a new battery I know it isn't the battery. I believe it to be the magsafe connector on the computer because the computer turns on when I put a fully charged battery in. When I plug the AC adapter to the magsafe port it does nothing. It doesn't light up green or orange. The computer does get power from it but it does not charge the battery. In return it does not read the battery after it is fully dead.
Will chime in once I have tried these steps.
Is this a good question?