My Hunting records show a Rebecca Hunting b. 19 Sep 1702, Dedham, Norfolk, MA as the daughter of John Hunting (1672-1760) and Mary Fisher (d. 1752). Source is Robert Brand Hanson, ed., Vital Records of Dedham, Massachusetts, Births and Baptisms 1635-1844 p. 189. John Hunting (1672-1760) is the son of John Hunting, Jr. (1636-1718) and Elizabeth Paine (1648-1718). I have more information on these people if you'd like to contact me.