Sorry I didn't reply sooner.I have a little bit of information since I first posted.
Page 144 of The Hodges Family published in 1896 lists "...Esther Fairbrother dau. of Thomas and Mary (Brown) Fairbrother, b. 1776 July 27, Cumberland, Rhode Island (formerly of Attleboro, Mass.) No children." marrying Nathaniel Hodges on June 1, 1801.
Familysearch.org has Welcome Fairbrother born to Thomas and Mary Fairbrother on 15 Mar 1779 Cumberland, Providence, Rhode Island.
Finally, "Vital Records of Roxbury, Mass" on page 139 has Nancy Brown Fairbrother marrying Ebenezer Hearsey on 6 Apr 1815.I'm not sure this is a daughter of Thomas and Mary Fairbrother but the "Brown" middle name sure leads me to believe that it is.