On 25 November 1837, York married Penelope Beatrix Sykes (1810–1873) in Roos, Yorkshire. She was a daughter of the Rev. Christopher Sykes, the Rector of Roos, and Lucy Dorothea Langford. Together, they were the parents of:[1]
Lucy Mary York (1838–1893), who married Edward Brooksbank, son of Rev. Edward Hawke Brooksbank and Hannah Heywood, in 1857.[5]
Caroline Penelope York (1839–1893), who married Rev. John Morland Rice, son of Edward Royd Rice and Elizabeth Knight (a niece of Jane Austen),[6] in 1864.[7]
Edward Christopher York (1842–1885), who married Isabel Augusta Fairfax, daughter of Thomas Fairfax and Louisa Constantia Ravenscroft, in 1870. After her death, he married Celina Rose Marsden, daughter of Rev. Charles Marsden, in 1876.[1]
Laura Marianne York (1846–1899), who married Admiral Sir Ernest Rice, also a son of Edward Royd Rice, in 1870.[6] After her death in 1899, he married Fanny Julia Dawkins, daughter of Clinton George Augustus Dawkins, consul-general to Vienna, in 1903.