He was the son of a London stationer; and Martha (née Davies), his mother's family were owners of Twyford House, a large manor in Winchester, England.
He was appointed to a canonry of Christ Church, Oxford, in 1748, and in 1760 to the deanery of Winchester and the living of Chilbolton, also in Hampshire, which he held in addition to his earlier preferments.
[3] At least one letter from Reynolds to Shipley survives, dated 25 September 1784 – the artist wrote thanking Shipley for his congratulations on being appointed Chief Painter to the King, declining an invitation to visit him at Chilbolton and hoping to visit him at St Asaph en route for Ireland the following year[4] On 19 January 1769 he was nominated bishop of Llandaff, with his consecration on 12 February.
In 1784, in a letter to Henry Laurens, Franklin called Shipley "America's constant friend, the good Bishop of Asaph."
They left descendants:[6] Thomas Moule's English Counties (1837 edition) states that the chancel of St Mary's Church, Twyford then contained "a mural monument, with a bust, by Joseph Nollekens" in Shipley's memory.