Bill Duggan was a engineer and a member of the staff of Space Station W3 in 2079.
He and Jarvis Bennett caught Jamie McCrimmon in the act of sabotaging the X-ray laser.
He found a Cybermat on the station but didn't tell anyone except Gemma Corwyn. The Cybermats later killed Kemel Rudkin. He thought Rudkin's death was his fault.
He was hypnotised by the Cybermen, and was later electrocuted and killed when he smashed the communications console. (TV: The Wheel in Space)