TwoTired - Thanks, I figured that was true, but thought it would hurt to ask to be sure that I wasn't just making things up in my head.
bollingball - Yes, I have the service manual that I downloaded from the forum here. I do typically ignore what the previous owner tells me about maintenance, but so far, as I have been searching though the bike, all of what the previous owner told me appears to be true. I will also check the jumper that goes from one coil to the other to be sure that is not the issue either.
BobbyR - I am thinking I may have a short now like you said. I check the points and everything appears to be good there. The points are nice and clean and the timing is set right.