He was the son of Thomas Belasyse, 1st Viscount Fauconberg of Henknowle and Barbara Cholmeley. He was christened 20 May 1604 in Coxwold, North Riding, Yorkshire, England. He married Grace Barton, daughter of Sir Thomas Barton in Coxwold, North Riding, Yorkshire, England about 1625. He matriculated at Trinity College, Cambridge in 1615, and was admitted to Lincoln's Inn in 1619. He died 20 May 1647 in Newbrough, North Riding, Yorkshire, England.
It may be possible to confirm family relationships with Henry by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
However, there are no known yDNA test-takers in his direct paternal line.
Mitochondrial DNA test-takers in the direct maternal line: