This tree was planted in a nice yard in Fresno. Any guesses?

Just a guess. Conadria, check the images on the varieties page.

Looks similar to my white Genoa . It gets that red eye around the opening, but I don't know if the leaves match mine. It also looks like the Saratoga.

No Quarter coin to compare ,size.
It is not possible to know what it is ,w/o size and weight.
I think it is very small but not sure,how small the fruit is.
Best Regards

25 grams

My Best Gues :Yellow Neches
Second guess:Blanchette,(Bianchetta)
Third Guess:If in fact the fig is Smyrna type then is a random hybrid.(This will be known if plant grown outside ,territory where fig wasp lives)
Third guess ,is most likely wrong ,on the reason that open fruit do not have large easy to see fertile seeds!

Bianchetta has very different leaf shape.

PS: Check the seeds if they float.
if it does not float,it can be anything,if it floats,it is Yellow neches.