Beekman Settlers by Frank Doherty p. 536 has a Francis Hoag, son of Martin & Anna (Arnold) Hoag, who married a Mary J. Case [no parents given for Mary Case]. Martin was born 14 Nov 1790, a descendant of John Hoag (b. 1643) & Ebenezer Emery; Newbury, MA.Most of their children and many descendants were members of the Society of Friends. Doherty doesn't list any children of Francis & Mary (Case) Hoag.