Welcome to the forum, Bev!
Like Jason said, seeing the inside, outside and the bottom of the ripe fig will go a long way in helping identify your tree. Off the bat, I would say it's a Kadota/Dottato. Definitely edible, but can struggle to form fruit in our heat. When it does, they are very good. Often forms a drop of honey/syrup in its small, open eye. The fruit is usually lemon-yellow in our area, but it can vary from light green to yellow. btw, what part of the Hill country are you in?