Bickerton rhymes with:
pinkerton, agerton, alderton, allerton, alverton, anderton, atherton, beaverton, betterton, brotherton, caperton, catterton, chatterton, chesterton, cullerton, edgerton, egerton, everton, fullerton, helmsburton, lamberton, leaverton, lumberton, netherton, overton, palmerton, pemberton, pinkerton, somerton, stellarton, tetterton, warburton, winterton, woolverton, yelverton