In the absence of any other name I can find I’m going to call this the Albert Road Barrow. The Hampshire County Council website says that this bowl barrow is a Scheduled Ancient Monument (number 12158) – grid reference SU 8735 5463 – “Albert Road. Standing in what was formerly the grounds of Belvedere House. Average diameter 30.0 m. and 2.2 m. high with no visible ditch. Thickly overgrown with trees and bushes”