Greenfig,
As a further contribution to your caprifig discovery and identification , let me extract a short text written by Dr.G. Eisen over a century ago in his description of several caprifig varieties ...
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Mitchell.— Leaves small to medium, the smaller leaves generally being."1 and 3 lobed, while the larger leaves are almost entire: surface rough and deep graygreen.
The leafstalks are bright red, and in this respect differ from any other caprifig known to us in California. The profichi are turbinate, with long and distinct neck and stalk. As far as can be seen from uncaprificated trees the figs are rough, lopsided, and when matured will probably be red. The profichi have more male flowers than any other variety seen by me. The profichi and mammoni crops overlap each other. This very interesting and probably very valuable variety was originated in a garden in San Francisco, probably from seed. The fig is named after Mr. Greorge O. Mitchell, who has kindly donated the trees for further propagation.--
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You may have found that Mitchell variety or a not too distant variant.
The color of the leafstalks, leaf shapes, Profichi contours, richness of male flowers, etc.. seem to put your caprifig almost in line with Eisen's Mitchell fig.
I would say that it's a variety to have in your yards, a non-edible winner.
This brings about your comment on cuttings. OK but, If the tree is in protected surroundings, air-layers, IMHO is the answer. Prepared by the end of 2014 with least disturbance to the tree and on selected branches with plenty of good size Mamme, I estimate that leaving the layers set through April 2015 , to be cut on last days of that same month, and immediately potted. Left under the mother tree for 4 or 5 weeks, and then, ready to be brought home with enough fertile Profichis to pollinate several small trees around the 20th of June/15.
Francisco