1) A by-name, probably comparing a person's hair to a prickly flower-head, perhaps the burdock.
Examples of this word as a by-name have been noted in several parts of Yorkshire from the late thirteenth century, probably as nicknames: 1292 John Burreheved, Barmston
1308 William Burreheved, Rastrick
1335 John Burheved, Sawdon. It is most unlikely that these men were linked genealogically since the examples occur in all three Ridings so the inference is that the phrase was in general use.