My great-great grandfather was Frank Iacavone (B: 1867 Naples, Italy; D: April 1935 (Ohio, USA). Frank & his wife Theresa Collarvusso were from Naples, Italy (from what I was always told) & migrated to Ohio, USA sometime before 1895.
Frank & Theresa changed their last name to Avon (maybe Frank was changed too?). I know you mentioned your great grandfather had a brother named Francesco...Too coincidental to not at least reach out to you.
My great grandfather was Anthony Avon (B: 1905; D: 1991 & had many brother’s & sisters) later married Grace Parge, who gave birth to my grandfather Richard D. Avon (B: 1928; D: 2008). Richard & his wife raised their children in Los Angeles, CA.