This could be a ‘Brown Turkey’ fig. I emphasize “could” because, to my knowledge, there is even less systematic pomology for figs than there is, for example, for apples and pears, and systematically identifying an unknown variety is therefore even more difficult.
This variety is characterized by high winter hardiness and a very bountiful brebas (the first generation of figs of the year) harvest.
To identify the variety more precisely, you might want to look around your area for similar trees whose identities have been confirmed...