The name Wandsworth House first appears in the Belfast Newsletter on Saturday 24 June 1865. The name Wandsworth begins to appear in the 1870 Belfast And Province Of Ulster Directory. It is likely the "Wandsworth" streets like so many streets are called after the local "Big House".
"An application was submitted from Mr. R.O. Templeton to name a street off Belmont Road, Wandsworth Drive, and it was resolved: That he be informed that the Committee do not consider the name "Drive" suitable but are prepared to approve of the street to be known as Wandsworth Gardens". (13th September 1921)