Massachusetts Soldiers and Sailors of the Revolutionary War, vol. 11, p. 601: the entry 'Oakes, Nathaniel, Winchendon', private in Capt. Benjamin Edgell's company, Col. John Jacobs's regiment, enlisted 30 June 1778, with muster rolls dated at Freetown in September and October 1778.
Image · dated 1778 · source: Secretary of the Commonwealth of Massachusetts, 1904; Internet Archive (public domain).

How it is shown: Complete page as supplied; no crop, no retouch, no search highlight.
Keep in mind: What the page says: Confirmed. 'OAKES, NATHANIEL, Winchendon. Private, Capt. Benjamin Edgell's co., Col. John Jacobs's regt.; enlisted June 30, 1778; service, 6 mos. 7 days, including travel (100 miles) home; enlistment to expire Jan. 1, 1779; also, same co. and regt.; muster rolls dated Freetown, Sept. 13, and Oct. 18, 1778.' The page holds many other Oakes entries (Cohasset, Boston and others). Whether this is our person: Unconfirmed to Likely. The Nathaniel Oakes entries on this page are left unmerged; the tag to Nathaniel Oak (1762-1830), son of Seth Oak, rests on the Winchendon place shared with Seth's 1775 entry and on his age (16 in 1778), and is not proved by the page.