comb vs neaten

comb is a noun but neaten is not a noun.

Word	Noun	Adjective	Verb	Adverb
comb	Yes	No	Yes	No
neaten	No	No	Yes	No

As verbs, neaten is a hypernym of comb; that is, neaten is a word with a broader meaning than comb:

Other hypernyms of comb include groom.

comb (noun)	neaten (noun)
the act of drawing a comb through hair
ciliated comb-like swimming plate of a ctenophore
the fleshy red crest on the head of the domestic fowl and other gallinaceous birds
a flat device with narrow pointed teeth on one edge; disentangles or arranges hair
any of several tools for straightening fibers

comb (verb)	neaten (verb)
smoothen and neaten with or as with a comb	care for one's external appearance
search thoroughly	put (things or places) in order
straighten with a comb