Hezekiah's sister, Abbie Mariah Vermillion, was either a twin of Hezekiah or born within a year of Hezekiah and she was born in KY. REF: tombstone; 1860 & 1880 Bracken Co KY census; family records of William C. Washburn (grandson of Abbie); and "A Knight in the Congo" by Dr. Hezekaih M. Washburn, page 13, where he states "my mother was born and reared in the river hill country of Bracken County, Kentucky, between the Ohio River and the North Fork of the Licking River."
Although I have no primary evidence, strong indications are that Elias Vermillion and Abby Mirrah Lane were married 5 Nov 1843 in Bracken Co KY.
Laura Ann Vermillion, sister to Hezekiah, was born 19 Apr 1852 in Bracken Co KY.REF: "Bracken County KY Vital Records/Statistics" by Frances Terry Ingmire, 1983.
All this leads me to believe that Hezekiah was born in KY, with so many of his siblings born in Bracken Co KY. Chances are that Hezekiah's son, Albert, the informant was either confused or had bad input from the family.