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In Italy the parents usually use chicco o chicca to say something like "little darling" or maybe "my little baby" to a very small child. I don't think it's anything about Francesca; this is pure coincidence. When my son was small my Italian wife used to say "ciao chicco" o "come stai chicco". His name is Paul by the way
It's the first time I read 'Chicca' as a nickname for Francesca, as it should be a nickname for Federica instead. More usual nicks for Francesca are either 'Fra' or 'Frency', which I think could probably be used in English, too (especially the second one).
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Explanation: I wouldn't translate it because it is someone's name.