He was the second, but only surviving, son of the former Anna Helena Domvile and Sir Thomas Edward Winnington, 4th Baronet of Stanford Court, Stanford-on-Teme, Worcestershire.
He held the office of High Sheriff of Worcestershire in 1894, succeeding Edward Vincent Vashon Wheeler.
[7] On 5 February 1879, Winnington was married to Jane Spencer-Churchill (1858–1940) at the church of All Saints, Ennismore Gardens in London.
[9] Her paternal grandparents were George Spencer-Churchill, 6th Duke of Marlborough and Lady Jane Stewart and her maternal grandparents were Frederick Gough, 4th Baron Calthorpe and Lady Charlotte Sophia Somerset (eldest daughter of Henry Somerset, 6th Duke of Beaufort),[10] Together, they were the parents of: Sir Francis died on 4 March 1931.
As his eldest son predeceased him in 1913,[16] he was succeeded in the baronetcy by his grandson, Francis Salwey William Winnington (1907–2003).