Dhu Varren is a landscape feature, a low hill-brow SW of Portrush, and the name of a road which runs along it. The name appears to be a local name of Irish origin, but the anglicised form with "Dhu" is typical of Scottish names. On the 1st edition Ordnance Survey 6" to the mile map there is a feature named Black Hill very close to this location. It seems likely that this name refers to the same feature or a related feature. The Irish form of Dhu Varren is given as Dúbhearn at logainm.ie This seems to mean "black gap". A house named Craig Dhu Varren was built in this neighbourhood in the late 19th century.
Resolved.- That the following names submitted for new streets be approved:…Dhu Varren Crescent, Dhu Varren Park and Dhu Varren Parade for new streets off Ainsworth Drive on the property of Mr H.T. Armstrong. Ainsworth Parade for a new street off Ainsworth street on the property of Mr H.T. Armstrong. ... (14th August 1934).