I'm having trouble with this fellow, I suspect he is a composite of different Ebenezer Nuttings. The one born in Grafton (which is quite removed from Groton - "Nuttin Ebenezer s James & Mary July 17, 1742") (who may be the James and Mary from Westford - have not chased that down yet). The fellow who marries Sybil (Farnsworth) Stickney in Harvard is styled Ebenezer Jr. ("Ebenezer [Jr. int.] of Groton, and Sybil Stickney, Jan. 31, 1765.") which implies that he is the son of an Ebenezer, not a James. Finally the death "record" in Groton is: "Ebenezer, wid., (sic) Dec. ––, 1822, a. 84 y." (Which date is also used for Nutting-35). An age of 84 would indicate a birth year of 1738. The Grafton birth record year is 1742 (while the birth year for Nutting-35 is 1719). The abbreviation "wid" - does that mean the widow of Ebenezer? Or that Ebenezer is a widower (not typically mentioned in MVR death records for males). Nutting-35 apparently married in Pepperell in 1741, no idea who to. He is the right age to be the father of this Ebenezer, but I find no records for him or his wife. There is an Ebenezer of Pepperell (b 1749, m Hannah Shepard & Sally (Kidder) Ball d 1821), and another of Westford - both revolutionary war veterans. There are 4 in the 1790-1820 censuses (Salem/Marblehead, Leverett, Brimfield and Pepperell). It is unfortunately a common name to the area.
Too many questions.