Brooke Foss Westcott was born in Birmingham on 12th January 1825. His father was Frederick Brooke Westcott.
William Wynn Westcott was born in Leamington, Warwickshire, on 17th December 1848. He was adopted by his uncle after the death of his parents when he was ten.
Brooke Foss Westcott went to school in Birmingham and took his degree at Cambridge. On leaving Cambridge in 1852 he taught at Harrow School.
William Wynn Westcott was educated at Kingston-upon-Thames. He studied medicine at University College London, and on taking his medical degree he became a rural doctor.
In 1869 Brooke Foss Westcott became a canon of Peterborough Cathedral, in 1870 he became Regius professor of Divinity at Cambridge. In 1890 he became Bishop of Durham.
In 1881 William Wynn Westcott became Coroner for central London. He held this post until 1910.
Brooke Foss Westcott died on 27th July 1901.
William Wynn Westcott emigrated to South Africa in 1918, where he died in Durban on 30 June 1925.
There doesn't seem to be any connection between the two except their surname.
