Thanks for everyone's help. You all pointed me into the right direction to identify my problem. Based on your suggestions and some testing on my end I found the "a" wire from the breaker is bad. As a test and a very temporary work-around. I removed the wire ("e") from the breaker for my pool light and also from the GFCI back by the timer and used it in place of the bad wire at both the breaker and timer. I tested it before hand and it was 115 volts.
So now my pump motor is running like a top. But now I have a long road ahead of me. I know my pool equipment is pretty old. When I had a tech come and look at it when I first bought the house and have him teach me a few things, he said the stuff belonged in a museum. However, I have replaced all the above ground PVC, installed a new salt cell, and a new valve for my sand filter. I knew I would need to slowly replace stuff. Now at the top of my list is all new wiring from the breaker box to the timer box. Probably a new timer while I am at it.