Sir Edgar Cuthbert Fremantle Whitehead, KCMG, OBE, (8 February 1905 – 22 September 1971) was a Rhodesian politician. He was a longstanding member of the Southern Rhodesian Legislative Assembly, although his career was interrupted by other posts and by illness. In particular he had poor eyesight, and wore very thick glasses, and later suffered deafness whilst in office. As an ally of Sir Roy Welensky, he was Prime Minister of Southern Rhodesia from 1958 to 1962.