James Tate of Botetourt County married Mary Lloyd in 1783, and moved to Franklin Co., Kentucky. This is the James Tate (1756-1831) clearly identified as the brother of Joseph Tate (1746-1821) of Warren County, Ohio, in Joseph's will. Since Joseph was not listed in the above proceeding, it must be concluded that he was a half-brother of James, by a prior marriage of their father prior to his marriage to Elizabeth Mitchell.
http://jliptrap.us/gen/mitchelltate.htm
http://jliptrap.us/gen/mitchelltate.htm