Jesse would be my 3rd cousin, once removed. I can send a full report if you wish.
Elizabeth Carson Parker is my 2nd great-grand-aunt, the sister of my g-g-grandmother on my father's line.
Tom Vaughn

Ancestry Chart of Jesse Verlin Faulkner
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+--- 2-Homer Harris Faulkner,b.8 Dec 1879,d.25 Sep 1935
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--+ 1-Jesse Verlin Faulkner,b.8 Oct 1918,d.25 Sep 1996
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| +--- 3-William Sidney Harrington,b.11 Jan 1839,d.9 Aug 1918
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+--+ 2-Sarah Eugenia Harrington,b.18 Aug 1876,d.26 Nov 1918
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| +--+ 5-Emanuel Parker,b.Abt 1782,d.9 Nov 1851
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| +--+ 4-Wylie Astin Parker,b.17 Sep 1810,d.15 Apr 1884
| | |
| | +--+ 5-Mary Ann Astin,b.Abt 1790,d.1873
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+--+ 3-Angeline Elizabeth Frances Parker,b.26 Oct 1843,d.4 Oct 1934
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| +--+ 5-William Parker,b.19 Jul 1793,d.19 Sep 1847
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+--+ 4-Elizabeth Carson Parker,b.13 Jan 1820,d.16 May 1897
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+--+ 5-Eunice Jane Nelson,b.14 Dec 1793,d.8 Oct 1850