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". “
"That on application of the owners The Executors of Riddell (space in minutes) five new streets situate off Falls Road be named Ballymurphy Street, Beechmount Avenue, Clowney Street, Felspar Street and Mica Street”. Minutes, Town Improvement Committee, 16th March 1898.
"Resolved – That on the application of Messrs. S. McGladery & Sons the name Ballymurphy Street be approved for a new street on their property, situate off Clowney Street". (22nd February 1927).
Ballymurphy Street was previously known as Sunbeam Street.
This street name does not feature either on PRONI Historical Maps or Royal Mail Postcode Finder