Estimating that Henry was born in Northampton, North Carolina, the same county in which he was married and later lived.
There is a lot of variation in the possibilities for Henry's wife's given name and LNAB.
Viney Haithcock
Viney Coats
Louisa Hathcock
Lavina Coats
Louise Coates
Sources
"North Carolina, County Marriages, 1762-1979 ," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:Q285-TTVF : 28 November 2018), Henry Cates and Viney Haithcock, 22 Dec 1835; citing Northampton, North Carolina, United States, p. , North Carolina State Archives Division of Archives and History; FHL microfilm 418,147.
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