edit: Photos of 'mother tree' are in post #10. Thanks for looking. :)
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I have no idea what it is, but I have to start somewhere. :) I took cuttings from the basal sprouts on a very old tree that had been cut down in the past. The old trunk was about a foot and a half in diameter. The tree is located on an old estate in a very ritzy part of town. The larger sprouts were supporting a small breba crop. If the cuttings take, I'll give them the name of the old estate - until I see what the fruits turn out to be. Around here most of the figs are mission, generic brown turkey, and a green fig, probably kadota.
On the way home I spotted another large fig tree in a very old part of town. It was too far from the road to get a cutting, and no one was around to ask. But they had goats and chickens so are earthy-types. The tree was thick with breba figs. I'll keep an eye on that one.
This is going to be fun.