articquad, welcome to the forum. To get an ID you might have to give a few more clues. One would be a picture of the most common leaf on the tree. The second would be a picture of a nice ripe fig showing it from all directions including the eye. Third instead of showing a fig that has a bite taken out of it, and it does look good, take a sharp knife and slice it in half right through the stem and the eye. There are some real sharp fellows here, but I'm not one of them. Good luck on your quest your Grandfather's fig looks to be a good one.
"gene"