Current translation for Ashburnham
  ash derived from æsc  – ash trees
  burn derived from burn  – a brook or stream
  ham derived from hamm  – Denotes a piece of land surrounded with paling, wicker-work, etc., and so defended against water, which would otherwise wash it away, so a valley settlement or settlement with a jetty.
“Ash trees brook or stream denotes a piece of land surrounded with paling, wicker”
Found in Domesday 1086AD
Name found:Esseborne (Sussex)
Place name translation provided by saxonhistory.co.uk