Transferred use of the surname, a local name from any of the numerous places in England named with Old English æsc ‘ash tree’ + tūn ‘enclosure, settlement’. This occurs occasionally as a boy's name in England from the 1600s; it is now used also for girls, partly, perhaps, due to the vogue for Ashley.
English (especially Yorkshire) and Scottish: occupational name for a fuller, Middle English walkere, Old English wealcere, an agent derivative of wealcan ‘to walk, tread’. This was the regular term for the occupation during the Middle Ages in western and northern England. Compare Fuller and Tucker. As a Scottish surname it has also been used as a translation of Gaelic Mac an Fhucadair ‘son of the fuller’.