Other McKees in Ripley County in the 1850 and 1860 Census records (mostly Adams Township, but also Franklin) were descendants of James McKee, born around 1787, according to other researchers (he had died before 1850, so I have no evidence.) He in turn is said to be a son and grandson of two James McKees, born in Ireland around 1760, died 1814 in Pennsylvania for the father, and born Ireland unknown, died 1804 for the grandfather, presumably in the US.
James Jr. born 1760 also had descendants in Fulton County, Indiana, in those Census records.The eldest son of James' son Anthony was a David, so the name is found in that family fairly prominently. Anthony seems to be a better marker, appearing in both lines mentioned and less common than David.Seems to be a reference to colonial hero "Mad Anthony" Wayne. Joseph also is common.
Your David born 1774 could be a sibling of the middle James, obviously a long stretch to assert that. The above families did spend time in Ohio, after a period in Pennsylvania, judging from the places of birth in records.