After breaking through many brickwalls in the last few years, I've stalled. This is a good time to go over those lines that I've just accepted.
My entree to the Cape May families is through Charity (Corson) Stites Wood. Charity, presumably with her parents and first husband, emigrated to Ohio prior to 1810. She told her grandson some pretty remarkable things which he detailed in a 1915 memoir. He mixes up names and generations but the essence has stood up to scrutiny. Although I can't prove the Mayflower descent he claimed it's understandable that a family that lived in Cape May for as many generations as the Hands, Stillwells and Corsons might start to think that.
For the record, this is Charity's presumed ahnentafel:
79-Charity Corson 158-Eli Corson 159-Christianna Thompson 316-Jacob Corson Jr 317-Charity Stillwell 318-Benajah Tomson 319-Prudence Eldredge 632-Jacob Corson Sr 633-Naomi 634-Nicholas Stillwell 635-Sara Hand 1264-Jan Carstensen 1265-Maria Elias Daas 1268-John Stillwell Jr 1270-George Hand 2528-Carsten Jansen 2529-Barbara 2530-Elias Daas 2536-John Stillwell 2537-Elizabeth Perrin 2540-Thomas Hand 2541-Katherine Stubbs 5072-William Stillwell 5073-Hannah 5074-Daniel Perrin 5075-Elizabeth 5080-John Hand 5081-Elizabeth Gransden 10144-Lt Nicholas Stillwell 10145-Anne 10148-Pierre Perrin 10149-Adrienne Jubril 10160-John Hand 10161-Joan Simmons 10162-Henry Gransden 10163-Alice