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.
Found in Domesday 1086AD
Name found:Esseborne(Sussex)
Place name translation provided by