Re: is the Bartoli name Italian?
Corsican and Sardinian are practically their own ethnicity. Sardinian is a separate language (not even a dialect, a language) from Italian, and Corsica has tons of Italian influences, including Italian heritage. So, while Bartoli is French in nationality, and has been for ages, she is most likely, at least on her father's side, a little bit Italian.
One of the best things about French is that they typically don't even differentiate between the different ethnicities; everyone is just French.