Torrens Avenue is called after David Torrens the owner of the property.
"The Assistant Surveyor submitted application lodged by Messrs. McIntyre & Torrens for the naming of new streets on the Oldpark estate, and it was. Resolved – That Messrs. McIntyre & Torrens be requested to submit alternative names for these streets, as the Committee do not consider the proposed names suitable". (5th August 1930).
"The undernoted names approved for new streets on ground off Oldpark Road the property of Messrs. McIntyre and Torrens;- Torrens Avenue...". (Minutes of the Town Improvement Committee. 30th September 1930).