Hi, I happened across your posting as I was working on my more distant Hoar/Hobart cousins :-) Basha was my 5th cousin, 1x removed.
Basha Ellen Hobart
d. of James Harvey Hobart & Caroline Elizabeth Page
s. of Lemuel S. Hoar/Hobart [surname change] & Agnes Rebecca Burns
s. of Ensign Marlin Hoar & Chloe Jennings
s. of Sgt. Daniel Hoar & Lois Merrick
Sgt Daniel Hoar, b. 17 Mar 1746, Brimfield, Hampshire [now Hampden], Massachusetts
m. 21 Nov 1771, Brimfield
Lois Merrick, b. 28 Nov 1751, Brimfield
"HOAR, DANIEL, Monson. Private, Capt. Freeborn Moulton's (Monson) co. of Minutemen, Col. Danielson's regt., which marched on the alarm of April 19, 1775, to Cambridge; left Cambridge May 4, 1775; service, 19 days; reported enlisted into the army; also, Capt. Joseph Thompson's co., Col. Timothy Danielson's regt.; also, company return dated Roxbury, Oct. 6, 1775; also, order for bounty coat or its equivalent in money dated Camp at Roxbury, Nov. 10, 1775; also, Sergeant, Capt. Reuben Munn's co., Col. Elisha Porter's regt.; engaged Sept. 26, 1777; discharged Oct. 18, 1777; service, 30 days, with Northern army, including travel (140 miles) home; company detached to join army under Gen. Gates for 30 days service."
Source: Secretary of the Commonwealth of Massachusetts, 1896-1908, Massachusetts Soldiers and Sailors of the Revolutionary War, Boston, MA: Wright and Potter, 17 vols. (v. 8, p. 2)
I have a lot of additional information on the Hoars, Hobarts, etc., and am always interested in exchanging data.