Ok, I took Dean's advise and opened my mind to the possibility that I may be the doubling part of the trigger and guess what (drum roll)
he was right.
I took the GHE to the gun club and shot 3 rounds of 5-stand, being thoughtful as to how I gripped the gun and how much pressure I put on the trigger while shooting the first shot.
I have a GREAT Parker GHE with a Parker single trigger.
The only time it doubled was when I had to pre mount for a long trap target and I really got into the gun and forgot about not holding it too tight.
What a man can learn on this site......thanks guys and especially Dean for having the courage and tact to bring it up.