HOORAY, FOUND THE PROBLEM!!!
I tried the suggestion to see if my generator would keep running with the gas cap removed while our AC is on and it DID. Ran out the complete tank of gas to give it and our trailer AC a good workout.
So my next step seems to be check the fuel filter to see if it has partially clogged or the gas cap vent is clogged.
Got any idea how to unclog the vent/location on a Honda Eu3000is gas cap or a good source for a new one? What about the fuel filter?
You cannot imagine how happy this old man and his bride of 56 years are at this moment!
Mike