The description you are giving sounds exactly like a Celeste fig tree. Figs can get as big as a golf ball, the leaves can get up to 12 inches in size. It’s figs start producing very early in the spring. They keep producing figs over and over again, up to 3 times a year. In the right climate the figs can be a deep purple. In the hot south east USA some plants can get way bigger than they get in the cooler parts of the USA, many fig varieties can get that big in South Carolina. The shape of the leaves and of the tree matches Celeste. Like Celeste it can produce 400 or more figs each year. The only thing you have not verified Celeste like is how the figs are to eat. You should at least try some of the fruit from it.
The following is a link to a photo of a Celeste figs, and a Celeste leaf, the figs do vary some in appearance based upon things like the climate, how much sun they get, which strain of Celeste, and so on.