Cornelius "Con" Denis Murphy (3 September 1908 – 13 July 1964) was a Welsh dual-code international rugby union, and professional rugby league footballer who played in the 1930s and 1940s. He played representative level rugby union (RU) for Wales, and at club level for Ynysddu RFC and Cross Keys RFC, as a hooker, i.e. number 2, and representative level rugby league (RL) for Wales, and at club level for Acton and Willesden, Streatham and Mitcham and Leeds, as a hooker, i.e. number 9, during the era of contested scrums.