His paternal grandparents were Anthony Eyre and the former Margaret Turner (a daughter of Charles Turner of Kirkleatham).[1] His maternal grandparents were John Bury and the former Catherine Hutchinson. His mother was also the great-niece and heiress of Sir Hardolph Wasteneys, 4th Baronet, of Headon.[1]
On 12 April 1790, Eyre was married to Charlotte Armytage, daughter of Sir George Armytage, 3rd Baronet, of Kirklees in Yorkshire.[6] Together, they were the parents of the following children:
John Hardolph Eyre (1792–1817), who married his cousin, Henrietta Eyre, daughter of Anthony Hardolph Eyre.[1]
Charles Wastaneys Eyre (1802–1862), the rector of Carlton in Lindrick who married Lucy Dorothea Foulis, a daughter of John Robinson Foulis of Buckton, Yorkshire, in 1827; he inherited the manor of Rampton in 1836.[1]
Anthony Gervase Eyre (b. 1812), who died unmarried.[1]
Charlotte Eyre (d. 1845), who married Henry Willoughby of Birdsall House, the son of Rev. Hon. James Willoughby (a grandson of the 1st Baron Middleton).[1]
Anna Maria Eyre (1796–1826), who died unmarried.[1]
Louisa Henrietta Eyre (1809–1816), who died young.[1]
Through his son Charles, he was a grandfather of Col. Henry Eyre (1834–1904), who sold the Rampton estate in 1893.[1]
Through his daughter Charlotte, he was a grandfather of Henry Willoughby, 8th Baron Middleton, Charlotte Henrietta Willoughby (wife of Henry Willoughby Legard, son of Sir Thomas Legard, 7th Baronet); Francis Digby Willoughby (a Captain in the 9th Lancers); the Rev. Hon. Charles James Willoughby (who married Charlotte Payne Seymour); Emma Willoughby (who the Rev. Richard Machell); Hon. Harriet Cassandra Willoughby (who married Henry's brother-in-law, Godfrey Wentworth Bayard Bosville, de jure13th Baronet); and the Rev. Hon. Percival George Willoughby (who married Sophia Beaumont, sister of Frederick Beaumont).[7]
^Ralfe. The Naval Biography of Great Britain. p. 386.
^Gentleman’s Magazine, John Nichols, vol 147. p.648
^A Genealogical and Heraldic History of the Commoners of Great Britain and Ireland Enjoying Territorial Possessions Or High Official Rank: But Uninvested with Heritable Honours, Volume 4, John Burke Colburn, 1838