I could find no mention of a David Eberhard in Seneca county, OH at the library.The Eberhards that were in Seneca county lived mostly in Thompson Twp. and all evolved from George Eberhard born 1790 PA.
The only David Eberhard that I could find in any census records was 1830 in Warren county, OH.
There was one ancester chart done.
George Sr. Eberhard b. 8 Mar 1791 d. 5 Apr 1830 + Barbara Merkle b. 15 May 1793 d. 3 Jun 1870
Philip Eberhard b. 11 Nov 1821 Mifflin Co. PA d. 6 Jul 1897Seneca Co., OH. married 27 Oct 1850 Elizabeth Barben b. 31 Jan 1827 Union Co., PA d. 10 Apr 1894 Seneca Co., OH.
Benjamin Franklin Eberhard b. 13 Dec 1852 Seneca Co., OH d.16 Nar 1931 Spokane, WA
Cora Bell Eberhard b. 1 Jun 1876 Seneca Co., OH d. 12 Apr 1947 Rebublic, OH
1880 Census Place: Thompson, Seneca, Ohio Source: FHL Film 1255065National Archives Film T9-1065Page 85A Relation Sex Marr Race Age Birthplace George EBERHART Self M M W 44 OH Occ: Farmer Fa: PA Mo: PA Susan EBERHART Wife F M W 44 OH Occ: Keeping House Fa: PA Mo: PA Sarah M. EBERHART Dau F S W 15 OH Occ: At Home Fa: OH Mo: OH Bertha E. EBERHART Dau F S W 10 OH Fa: OH Mo: OH Minerva EBERHART Dau F S W 8 OH Fa: OH Mo: OH George EBERHART Father M W W 90 PA Fa: PA Mo: PA Elizabeth BURGER SisterL F W W 50 PA Occ: House Keeper Fa: PA Mo: PA Rachael KERN Sister F W W 25 OH Occ: House Keeper Fa: OH Mo: PA Clara H. JACOBY Niece F S W 2 OH Fa: OH Mo: PA Andrew YEAGER Other M S W 19 PA Occ: Farm Hand Fa: PA Mo: PA