James Kennedy born between 1770 and 1775 and wife Elizabeth--see http://freepages.genealogy.rootsweb.ancestry.com/~bart/Canaday2.htm for a full account of the family, who resided in Licking County, Ohio after 1806. Children include Rachel Kennedy, wife of John Richter, and Daniel Kennedy, husband of Ruth Smith.
Jane Kennedy born about Nov 1775 and married to James Morford 12 Oct 1790 in Frederick County, Virginia, resided in Greene County, PA after 1802 (Whiteley Township in 1810, Aleppo in 1820 and 1830). We have a mitochondrial DNA result for a descendant of Jane.
Jesse Kennedy (born between 1751 and 1775) who married (2nd) to Elizabeth Leach circa 1821. Jesse lived in Cumberland twp, Greene County PA between 1810 and 1830, after which he moved to Morgan County, Ohio. His daughter Rachel Kennedy (by 1st wife) married Emanuel Leach 1 Dec 1831 • Morgan,Ohio, http://person.ancestry.com/tree/2050607/person/430023779826/facts. His daughter Hester Kennedy by second wife Elizabeth Leach was born 18 Apr 1829 Beallsville, Washington, Pennsylvania, USA, married 13 APR 1847 to George William Vickroy Morgan, Morgan, Ohio, United States, Death 24 Feb 1905 Hocking, Ohio, United States
John Canaday BIRTH: 22 Apr 1816 DEATH: 30 Oct 1895 - Ohio MARRIAGE: 3 Aug 1844 - Muskingum County(Muskingum), Ohio SPOUSE: Mary Osmond. This John might well be a son of James Kennedy and Elizabeth (above), as 1880 census shows parents both born in VA.
The working hypothesis is that the first three individuals were siblings, as they appear to have been born about the same time, likely in Frederick County, VA (based upon Jane's marriage there).