The following notes are likely for a younger George Hartman.
1815 George Hartman was a private in the company of Lieutenant Christian Conn from Monongalia (Preston) county, West Virginia. 
1818 George Hartman died in Harrison County, West Virginia.
 Virgil A Lewis, Biennial report of the Department of Archives and History of the State of West Virginia, Vol. 3 (1911), 183, of 183-4, [Google].