Nothing is known about this man and a medal index card has not been traced for him at the National Archives.  The entry in Nurse Oliver’s album (which was probably written whilst she was nursing at Hickwells) reads:

Pte W. Brown

1218 No 2 Coy

9th Middlesex Regt

He shares this page with 7480 Private Reginald Pimble of the 1st Gloucestershire Regiment, Private 41441 Thomas George Clarke of the Norfolk Regiment and 3655 Private Martin Donnelly of the 1st East Surrey Regiment.