Kenrick was born on 4 December 1872. He was the son of another Birmingham civic leader,
William Kenrick and, through his mother Mary Chamberlain, was a nephew of a third, her younger brother
Joseph Chamberlain, as well as being a cousin to
Austen and
Neville Chamberlain. He was educated at
Rugby School and
Balliol College, Oxford. In 1908, the family were resident at
Metchley House in
Edgbaston. One of Wilfred's sisters, Cicely (1869–1950), married
Ernest Debenham, head of the retail chain
Debenhams, in 1892. Wilfred had another sister, Millicent Mary Kenrick (1871–1932), the mother of the actor
Alan Napier, and a younger brother, Gerald William Kenrick (1876–1953). Byng Kenrick was involved in managing the family firm,
Archibald Kenrick & Sons Ltd, whose origins date back to 1791, from whose day-to-day activities he stood down in 1945, retiring fully in 1953. == Civic service ==