Yes, there are links between the Hann and Cottrell families over a number of generations. My own forebears include the son of Henry Cottrell and Mary Carew (Hann?), named Robert Carew Cottrell - and his son John Hann Cottrell (who shares his name with his uncle, Henry’s brother). The existence of both the Carew and Hann names in the names of Henry and Mary’s children is intriguing . . . but without hard evidence anything more is just speculation.