I think the following data pertains to this particular Henry Brightman, our ancestor (My mom Edna's ancestral line):
Henry Brightman of Freetown, MA, was a Sergeant in Capt. Joseph Durfee's co; in this position he served three months, from 9 Apr to 9 Jul 1778. He was also a Captain in Col. Livingston's regiment, serving one month, 2 Jun to Jul 2 1779 at Freetown and RI. Henry was also Captain, 10th co., 2nd Bristol Co., MA, regiment. He is on a list of officers of MA Militia; was commissioned 10 Aug 1779. Henry also served in Col. John Hathaway's regiment; he entered the service 1 Aug 1780 and was discharged 7 Aug 1780, serving 6 days on an alarm at RI. He also served in Col. James Dean's regiment, serving 6 days from 8 Mar to 14 Mar 1781.