shout vs bawl

shout is a noun but bawl is not a noun.

Word	Noun	Adjective	Verb	Adverb
shout	Yes	No	Yes	No
bawl	No	No	Yes	No

As verbs, bawl is a hyponym of shout; that is, bawl is a word with a more specific, narrower meaning than shout:

shout: utter in a loud voice; talk in a loud voice (usually denoting characteristic manner of speaking)
bawl: shout loudly and without restraint

Other hyponyms of shout include scream, yell, holler, holler out, roar, thunder, bellow.

shout (noun)	bawl (noun)
a loud utterance; often in protest or opposition

shout (verb)	bawl (verb)
utter in a loud voice; talk in a loud voice (usually denoting characteristic manner of speaking)	cry loudly
utter a sudden loud cry	shout loudly and without restraint
utter aloud; often with surprise, horror, or joy	make a raucous noise
use foul or abusive language towards