I prefer
Georgia, but I live in the U.S. and I'm not Italian. But
Georgia, the state, doesn't have a negative connotation for me (for the most part, lol), and I think it makes a lovely name, and it's so long been established as a name that it doesn't feel at all like a trendy 'place name' imo. I don't care for the
Giorgia spelling much at all, though if the family is Italian it would make more sense, probably. (BTW, even though I don't like
Giorgia, it's miles better than
Jorja, which is NOT a legitimate spelling. IMO.)