The National Society, Daughters of the American Revolution (DAR) has four patriots with the surname Brookshire. Three had service from North Carolina; one from Maryland.
The NC name are Mannering Brookshire Jr & Sr, and William Brookshire. There is a note on the files that an error has been identified with some papers that "Thomas who married Sally Fincher" was the son of Mannering Sr, not Jr. Also, I see there that Mannering Jr died before Sr, which could also cause some confusion.
William Brookshire, 1756-1836, is shown with a wife Mary Ann ___. All the accepted papers have descents through his son James & wife Elizabeth Tilley.
Hope this helps! -NGP