Father's birthplace, village

As near as I can determine from all the records my Mother left with me, my Father emigrated to the USA in, I believe, 1910 or 1911. He was born in either 1887 or 1889 on Kythera and they were a family of Sponge divers from all the things Dad talked about. The Greek name was Bellessis and changed to Bellecy at some point in time, either before he left Greece or when he arrived at Ellis Island as happened to so many good people at that time in our country's history.
There were5 boys and, at least 1 girl in the family. It has been all too hazy trying to figure this out. I would like someone to tell me, if possible, what town or village my family is from.