Willoughby Lee is flat impossible as a son of Hancock Lee and Mary Kendall (no WIlloughbys in *that* tree), and, based on dates, highly unlikely as a son of Hancock Lee and Sarah Allerton (Willoughbys yes, those dates no).
Hancock Lee, II is probably a radically messed-up double of Hancock Lee, II Middle names weren't a real thing yet, and a "middle name" of Taylor is seriously misplaced.
