This connection is erroneous based on name confusion. James Hair was Cherokee from TN while James Conrad was from N.C., the two are frequently confounded because the Father of James Hair was named Hair Conrad, but the two families are not connected. See the discussion at https://www.wikitree.com/g2g/782956/one-plus-one-three
There is some confusion regarding the various wives and to which generation they belong…
This James Hair Jr. seems to have had three wives
m. (1) ELIZABETH HOLT; b. Abt. 1856;
m. (2) SARAH COX, Bef. 1890; b. 1850; d. Aft. 1890;
m. (3) SARAH E DAVIS, Bef. 1902; b. 1849; d. January 02, 1916.
While his father James Hair, Sr. also had three wives
He married (1) SUSANNAH REESE Bef. 1826, daughter of CHARLES REESE and NANCY TIMBERLAKE. She was born Abt. 1812 in Tennessee, and died Abt. 1867.
He married (2) DA-GI Bef. 1828. She was born Abt. 1810.
He married (3) NELLIE MCGHEE October 1838 in Calhoun, CNE, daughter of _____ (John) MCGHEE and ELIZABETH PATHKILLER. She was born 1820, and died October 19, 1882.