I found a Jacob Harner, also listed as Hornor, on the DAR Patriot Index as follows:
Harner/Hornor, Jacob Service:Pennsylvania Rank: Private Birth: 2 Apr 1755 Germany Death: 8 Nov 1837 Berks Co., Pennsylvania Service: Capt. Demas Worrell, Major Reese Married 12 Apr 1783 Elizabeth Baum b. 15 May 1761, Berks Co., PA. d. 19 Oct 1823, Berks Co., PA.
Children through whom members joined the DAR: Anna m. William Halloway Henry m. Elizabeth Kirling. DAR #526060 Ancestor #A058522 through child Henry.