Is it possible He changed his name in England to Peter Fadett, listed as born in Lucca Italy 1805, Marble Polisher

Is this your relative?

1851 Census - 17 Wingham Terrace, Leeds
Peter Fardett Head Male 46 Italy Lucca Marble Cutter
Maria Fardett Wife Female 50 Wakefield, Yorkshire
Eliza Fardett Daughter Female 18 Leeds, Yorkshire

1861 Census - Pollard Street, Leeds
Peter Fausett Head Male 50 Italy British ...