burning vs hurting

burning and hurting both are nouns.

Word	Noun	Adjective	Verb	Adverb
burning	Yes	Yes	No	No
hurting	Yes	No	No	No

As nouns, hurting is a hypernym of burning; that is, hurting is a word with a broader meaning than burning:

Other hypernyms of burning include pain.

burning (noun)	hurting (noun)
the act of burning something	a symptom of some physical hurt or disorder
execution by electricity
execution by fire
a form of torture in which cigarettes or cigars or other hot implements are used to burn the victim's skin
a process in which a substance reacts with oxygen to give heat and light
pain that feels hot as if it were on fire

burning (adjective)	hurting (adjective)
of immediate import