This street and other streets which include the name "Ballymurphy" are called after the townland wherein they are located. Baile Uí Mhurchú ‘(O’) Murphy’s townland’. “The city surveyor submitted application from the estate Superintendent requesting this committee's approval of the names Divismore Park, Divismore Way, Ballymurphy Drive, Glenalina Rd (Extension) and Glenalina Park (In Lieu Of Glenalina Rd) for thoroughfares situated off Springfield Rd and Whiterock Rd. (30th October 1951).
The Irish form of the name was approved in July 2023.