Clayburn \c-laybu-rn, cla(y)-burn\ as a boy's name is a variant of Clayborne (Old English) and Clayton (Old English), and the meaning of Clayburn is "brook near a clay-bed, border near a clay-bed, clay settlement". The baby name Clayburn sounds like Claybourn and Clayborn. Other similar baby names are Claybourne, Claibourn and Claiborn. View a list of the 2 names that reference Clayburn.