Dirt Bag,
i have no experience with Generac, but have worked on most Gennies out there.
As suggested, remove the gas cap first, depending on how far away the tank is from the pump, even a little extra restriction can cause a problem.
Second, I would suspect the fuel pump is getting hot and not pumping enough fuel.
I would think if there was something wrong with the governor, it would not take ~45 mins to act up, but again since its electrical, it might get hot and cause a problem.
Many friends I have camped with have replaced a fuel pump, common problem.
Hope you get it fixed soon.
Bob J