Martin,
(Sadly,) I think that it is time to kiss your Kalamata Black a good-bye,bye.
In spite of what Belleclare said, it most likely is of the Smyrna fig type.
At least I think my (UCD) Kalamata (white) is so too - it keeps dropping them too.
28. KALAMATA-A (Greek) (a) medium, black with dark red center, sweet, (2 crops)
I had gotten mine back in 2006 as 3-4" little twig.
I lost it a couple of winter yrs ago (my fault), and I do not want it back.
I also think that you should offer some twigs to some serious willing fig-person
in California (where there are fig-wasps) to try it out.
It is a very rare fig that should find its own place somewhere in USA...