damage vs disfigurement

damage and disfigurement both are nouns.

Word	Noun	Adjective	Verb	Adverb
damage	Yes	No	Yes	No
disfigurement	Yes	No	No	No

As nouns, disfigurement is a hyponym of damage; that is, disfigurement is a word with a more specific, narrower meaning than damage:

Other hyponyms of damage include impairment, defacement, disfiguration, mutilation, wound, wounding, burn, defloration.

damage (noun)	disfigurement (noun)
the act of damaging something or someone	the act of damaging the appearance or surface of something
any harm or injury resulting from a violation of a legal right	an appearance that has been spoiled or is misshapen
the occurrence of a change for the worse
loss of military equipment
the amount of money needed to purchase something

damage (verb)	disfigurement (verb)
inflict damage upon
suffer or be susceptible to damage