Gorham worked in the London newspaper industry for three years, before in 1926 joining the staff of the BBC's own listings magazine, the Radio Times.
In that capacity, he worked closely with Major Glenn Miller and his Army Air Force Band.
After the end of the war in 1945, he was appointed as the Director of the new BBC Light Programme; this appointment was only a brief one, however, for in the following year he was made the first post-war Director of the re-launched BBC Television Service, responsible for getting the young service back up and running after a seven-year break.
However, disagreements with his superiors meant that this was also a brief appointment, and he resigned from the staff of the BBC after twenty-one years in 1947, returning to journalism.
In September 1959 he left this position - his reasons for resigning were not disclosed, but it is widely believed that he disagreed strongly with the Government's plans for how to introduce a television service to the country, which was due to happen the following year.