Named after Roundhill House, which was formerly situated in this neighbourhood. It was first recorded in 1834 and was demolished by 1901 (IHTA xvii, 80). It was sometimes spelt Round Hill House. The street is not listed in the Royal Mail Postcode Finder because there are no properties that have this address. The houses in Glenallen Street on the one side and Vicarage Street on the other side back onto Roundhill Street.