He then became a coach at Tooting & Mitcham United in 1961, where he stayed until joining Malcolm Allison as a coach at Plymouth Argyle during the 1964–65 season.
Allison controversially sold crowd favourites such as Peter Barnes and Gary Owen and replaced them with players such as Michael Robinson and Steve Daley - who became the British transfer record for £1,450,000m.
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Allison's outspoken nature and womanising were of great interest to the tabloids and it was reputed that Allison had relationships with Christine Keeler of the Profumo scandal, singer Dorothy Squires and two Miss UKs.
Malcolm in the Middle | Malcolm Harbour | Malcolm McDowell | Malcolm Fraser | Malcolm McLaren | Malcolm Muggeridge | Malcolm Gladwell | Malcolm Forbes | Malcolm | Malcolm X (film) | Malcolm Sargent | Malcolm Morley | Malcolm Lowry | Malcolm Campbell | John Malcolm | Mose Allison | Malcolm Rifkind | Malcolm Pearson, Baron Pearson of Rannoch | Malcolm Mackerras | Malcolm MacDonald | Malcolm & Eddie | Allison Miller | William B. Allison | Noel Malcolm | Malcolm Turnbull | Malcolm Smith | Malcolm Jones | Malcolm Garrett | Malcolm Bradbury | Malcolm Arthur Smith |
Mulhearn started the following season as first choice, but was dropped following a European Cup defeat to Fenerbahçe, in which his failure to claim a cross resulted in a winning goal for the Turkish side, leading Malcolm Allison to blame him for the defeat.