Family search has him listed as William Ludlam III. Therefore, that give you two more generations. William Ludlam II b about 1605, Matlock, Derbyshire, England. Died 7 Jun 1665 on Long Island. Married Clemence Fordham, b 1605, Sacombe, Hertfordshire, died before 21 Aug 1646 in Mattock, married 1624 in Matlock. His father, William Ludlam I, as well as several other generations can be found there along with over 30 sources to check out.