Micah, that's a beautiful tree!
A very large number of figs trees in NC are Celeste or Brown Turkey. Once the tree gets some age and height, they become very sweet and amazing. I'm in Charlotte, NC and my section of Charlotte is considered 8A by the USDA. You can always tell Celeste from Brown Turkey in our climate b/c Celeste is a tad bit smaller and have a little reddish color when ripe. Brown Turkey, depending on the strain, are a little larger and has almost a greyish brown color when ripe. Both are excellent but Celeste is a winner and is hardier than BT. Celeste in my climate never drop figs. But be very careful though buying Celeste trees at Wal-Mart, Home Depot, and Lowes. Most are Brown Turkey even though the tag says, "Celeste". I know....that's for another post but is truly a huge problem for fig lovers/growers.
Again, that's a beautiful Celeste fig tree! Auntie did a good job raising it!