Synonym of nappy: having tightly curled and frizzy hair. / (possibly offensive) Synonym of fuzzy-headed: characterized by vague or confused thinking, dull-witted.

plural of woolly-head

A woolly-headed person, particularly (potentially offensive) a black or Arab with Afro-textured hair. / (historical US slang) Synonym of abolitionist: an activist or politician opposed to slavery.

The quality of being woolly-headed: illogicalness, irrationality.