Current translation for Hawkhurst
  hawk derived from hafoc/haga  – a hawk / a haw, berry of the hawthorn
  hurst derived from hyrst  – A clearing in the Forest, most were settled after Domesday
“Hawk clearing in the forest, most were settled after domesday”
Found in Domesday 1086AD
Name found:Hauochesten (Kent)
Place name translation provided by saxonhistory.co.uk