Cockbill was educated at Bristol Grammar School and St John's College, Oxford. He was ordained in 1911 and began his career with curacies at St John’s, Bridgwater and Holy Trinity, Eltham. He held incumbencies at All Saints, Oakhill, Holy Trinity, Bath and St John the Evangelist, Digswell. He was diocesan director of religious education for the Diocese of St Albans from 1935 to 1948; and a canon residentiary of its cathedral from 1942 to 1958.
|Church of England titles|
Claud Thomas Thellusson Wood
|Archdeacon of St Albans
Basil Clark Snell
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