woolen vs cloth

woolen and cloth both are nouns.

Word	Noun	Adjective	Verb	Adverb
woolen	Yes	Yes	No	No
cloth	Yes	No	No	No

As nouns, cloth is a hypernym of woolen; that is, cloth is a word with a broader meaning than woolen:

woolen: a fabric made from the hair of sheep
cloth: artifact made by weaving or felting or knitting or crocheting natural or synthetic fibers

Other hypernyms of woolen include fabric, material, textile.

woolen (noun)	cloth (noun)
a fabric made from the hair of sheep	artifact made by weaving or felting or knitting or crocheting natural or synthetic fibers

woolen (adjective)	cloth (adjective)
of or related to or made of wool