Well, I read what Russell (onloooker) said about gripping the rifle, and went out back this morning with a target and a bunch of Crossman pointed pellets.
I am shooting from the top of my gas grill, from some bean bag rests. Whenever I found myself holding the gun in a death grip, I relaxed and let the gun do the shooting(very Zen, huh?).
Results: No flyers; Groups that are respectable; a nice experience.
WOW! Who'da thunk it?
Thank you Russell, for bringing peace and joy to an old man.
John