I'm a descendant of John Lyman through his son Moses, an older brother of Benjamin. My tree shows Benjamin's wife Thankful Pomeroy (b. 31 May 1679, d 18 Sep 1773) as the daughter of Medad Pomeroy (no known dates) and Experience Woodward (10 Nov 1643 to 1686). Hannah Lyman was born around 1656 so she'd fit ok timewise if my info on Experience Woodward is wrong. My source was other family trees on rootsweb.