hee-haw vs laugh

hee-haw and laugh both are nouns.

Word	Noun	Adjective	Verb	Adverb
hee-haw	Yes	No	Yes	No
laugh	Yes	No	Yes	No

As nouns, laugh is a hypernym of hee-haw; that is, laugh is a word with a broader meaning than hee-haw:

Other hypernyms of hee-haw include laughter.

hee-haw (noun)	laugh (noun)
a loud laugh that sounds like a horse neighing	the sound of laughing
	a humorous anecdote or remark intended to provoke laughter
	a facial expression characteristic of a person laughing

hee-haw (verb)	laugh (verb)
braying characteristic of donkeys	produce laughter