In the absence of any other name I can find I’ve given it this name. This isn’t marked on the OS map but is logged on the fantastic ‘Hampshire Treasures’ resource – “Long Barrow – Tidpit Common Down. 30 m. long and 20 m. wide with a height of 1 m. No visible side ditches. O.S.A. No. SU01 NE12. Ref: P.H.F.C., Vol. 14, 1938, (Grinsell), pp. 195, 203.”