His mother's Priscilla Gillis line is said to trace back through Esther Robins to Henry III and beyond.
Miles files runs a tracer from https://espl-genealogy.org/getperson.php?personID=I21638&tree=1 (see https://espl-genealogy.org/pedigree.php?personID=I21638&tree=1) to Antigone Grey natural daughter of Humphrey of Lancaster, 1st Duke of Gloucester > Henry IV of England > John of Gaunt, 1st Duke of Lancaster, 1st Earl of Richmond > Edward III, king of England
Of *course* Edward III was going to be in the path somewhere, assuming it's correct. He's notoriously "the father of the English middle class".
A secondary result is that anyone with Col. Nathaniel Littleton in their tree has this line also.
Note: This path can be found on Geni also. Have all steps been completely verified?