Haskins-Styles was the eldest son of Joseph Haskins Stiles, a sometime Amsterdam merchant and his wife Sarah Eyles, eldest daughter of Sir John Eyles, MP. After inheriting both his father's and younger brother Joseph's fortunes (1714 and 1719 respectively) he acquired several estates in Wiltshire, including Bowden Park, near Devizes and Calne manor and Moor Park, Hertfordshire, where he commissioned Giacomo Leoni and Sir James Thornhill to remodel the house as a Palladian mansion.[1]
Haskins-Stiles was returned as Member of Parliament (MP) for Devizes at a by-election on 8 February 1721, replacing his uncle Francis Eyles, who had been expelled from Parliament as a director of the failed South Sea Company. At the 1722 general election he was returned for Devizes and Calne and chose to sit for Devizes as a petition was outstanding at Calne. He was returned unopposed again for Devizes in 1727, but did not stand at the 1734 general election.[1]
Haskins-Stiles married twice, but left no surviving children. He died on 4 April 1739. He and his wife were laid to rest somewhere outside the Orangery.[1] Moor Park was sold to Admiral George Anson, 1st Baron Anson in 1754.