woolly vs wooly-haired

woolly and wooly-haired both are adjectives.

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

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

Other synonyms of woolly include woolly-haired, wooly.

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