Hibbert Binney was born 12 August 1819 on Cape Breton Island where his father was stationed. The family returned to England with his father becoming rector of Newbury, Berkshire. Hibbert Binney was educated in London and Oxford and admitted to the priesthood in 1843. He was appointed bishop in 1851 at the age of 32.
Hibbert Binney was involved in the running of King’s College, Windsor from the start of his episcopate. In 1854 legislation was enacted which made the Bishop president and mandated that members of the board of governors be members of the Church of England. Previously, Presbyterians and other religions had been included on the board. Hensley Memorial Chapel was built in 1878 close to King’s College. It was funded by the Bishop’s near relative Edward Binney.
Bishop Binney died on 30 April 1867 on a visit to New York City. He was 68 and had been bishop for 36 years.