Prior to joining Fleetwood Mac, Brunning was a member of Five's Company before joining Peter Green's band in 1967 - a position which was then taken over by John McVie later that year.
Brunning then eschewed life as a full time musician in favour of teaching becoming headmaster at a series of inner London schools.
However, he stayed in touch with the band, and in mulling over his turning down a North American tour, together with a former Savoy Brown colleague, pianist Bob 'Big Sunflower' Hall, founded The Brunning-Sunflower Blues Band and released three albums prior to a fourth offering for another company in 1971.
As well as teaching, Brunning also authored a series of books about the music industry, including: Blues-The British Connection as well as Behind The Mask and Fleetwood Mac: The First Thirty Years. He is survived by his son Simon and daughter Rachel from his first marriage, and by his widow Halina and their son Daniel, along with six grandchildren.