Joe;
If you compare the gun Doublenut posted your G has an extra flourish at the rear of the side plate his doesn't have. None of my H's have it either. Also none of my H's have the scroll on trigger guard & bottom of action in front of the trigger plate as your G does. Though he did not post a picture of the bottom I am thinking his gun is an H.

Miller/TN
I Didn't Say Everything I Said, Yogi Berra