Hi Devlsgro,
Lets exercise the fig skills of the grower :
That bush is a few years old, yet all the stems we see in your picture are from this season.
One can see an older stem but is was cut at ground level.
So this tree is dying back to the ground every year.
If she stills manages to crop, then a mount etna cultivar is a good guess to identify this tree.
If your family would be protecting the tree a little bit, they would more than surely get a better crop.
One can see that there are some 40 root-shoots in that bush. I use 5 at maximum to have in one planting spot.
So if you ( wink wink wink ) are willing to have a copy of this tree, just pull some of the thinner root-shoots and plant them for you :).
To be able to identify your tree more accurately, photos of the tree in full leaf and 3 ripe fruits is the way to go. When a tree has lost its leaves, it is harder to be accurate.