[zoegrant]

There are a lot of good ideas here. the first thing I will check will be the spark from the coil after car is run enough to get it hot then wait a few minutes before testing the spark at the coil.
If it test OK then I will move in to all electrical grounds to make sure they are clean and tight.
From there I will change the condenser.

I am thinking that it is electrical as I do have an electric fuel pump that is inline before the mechanical pump and it does not seem to help start the car when hot.
The carb was rebuilt by professionals on this site a couple of years back.
No gas lines are near the engine except that the fuel pump sits on its stand on the block.
I WILL POST WHEN PROBLEM IS LOCATED AND CORRECTED.
Thank you to all with your possible solutions.