Ulrich, you read my mind! We got to sample this delicious fruit while in Spain, but we could never remember what it was called, and we were just talking about it again Thursday! Have you been getting fruit off your own tree?
Vy, thank you ever so much for that link. Finally I know it's the real thing, although the flowers don't seem to have any pinkish inner petals, nor are they fragrant. There are some pea-sized nubs left behind when they drop. Lets hope they'll get large.
There are many cherimoya plantations near Santa Barbara and we were given a tour at one. They explained that they pollinate each flower by hand at just the right time to get good-sized fruit. They charge an arm and a leg for them in the markets here.
Our tree came from a mislabeled packet of Sweet Pea seeds a friend planted about twenty years ago. This is the first year it is blooming.