woolly-haired vs woolly

woolly-haired and woolly both are adjectives.

Word	Noun	Adjective	Verb	Adverb
woolly-haired	No	Yes	No	No
woolly	No	Yes	No	No

As adjectives, woolly-haired and woolly are synonyms defined as:

woolly-haired and woolly: covered with dense often matted or curly hairs

Other synonyms of woolly-haired include wooly-haired, wooly.

woolly-haired (adjective)	woolly (adjective)
covered with dense often matted or curly hairs	confused and vague; used especially of thinking
	covered with dense often matted or curly hairs
	having a fluffy character or appearance
	covered with dense cottony hairs or hairlike filaments