I've been trying to find a birth record for Ann to see if that gives her mother's maiden name.
When she was born (c1846) Corfu was a British Protectorate. However, I don't seem to be able to find her in the British overseas BMDs - did they only include expats, and not the indigenous population? (I haven't checked the marriages.)
According to the FamilySearch wiki, some Corfu BMD records are online, but with the link they give I haven't been able to get beyond an archives catalogue entry. I don't know if there'd be any church/baptism records as well. The family were RC, rather than Orthodox, and some of the names sound more Italian than Greek in origin, which I think is perfectly feasible given the island's location.