With fellow "Army Game" writer, Larry Stephens, Wiltshire co-wrote four episodes of the BBC radio programme, "The Goon Show". These were series 8 #15 (The Thing on the Mountain), #17 (The Moriarty Murder Mystery) & #19 (The White Neddie Trade) and series 9 #7 (The Seagoon Memoirs). All were originally broadcast in 1958.
