Mary Simpson was a unionist politician in Northern Ireland. Simpson was honorary secretary of the Central Armagh Unionist Association from 1974 until 1983, and was elected to Craigavon Borough Council for the Ulster Unionist Party at the 1977 local elections. She held her seat in 1981, and served as Mayor of Craigavon in 1981/2, the first woman to hold the post. In 1990, Simpson served as Chair of the Craigavon and District Housing Association.