Returning to the Salford Diocese in 1940, Fr Burke was appointed as Professor at
St Bede's College, becoming Prefect of Studies in 1950 and Vice-Rector in 1953. At St Bede's he taught
Ian Kershaw who later said Burke was "a marvellous teacher and I owe him a lot". In 1966 following the retirement of Monsignor Thomas Duggan through ill health, Burke was appointed Rector of the college but only remained in the post for a year before being appointed Auxiliary Bishop of Salford by
Pope Paul VI in 1967 to assist Bishop
Thomas Holland. He took the title of Titular Bishop of Vagrauta, being consecrated in
Salford Cathedral on 29 June 1967 by Bishop Holland. He then took up residence at Salford Cathedral House. ==Later life==