sobbing vs crying

sobbing and crying both are nouns.

Word	Noun	Adjective	Verb	Adverb
sobbing	Yes	No	No	No
crying	Yes	Yes	No	No

As nouns, crying is a hypernym of sobbing; that is, crying is a word with a broader meaning than sobbing:

sobbing: convulsive gasp made while weeping
crying: the process of shedding tears (usually accompanied by sobs or other inarticulate sounds)

Other hypernyms of sobbing include tears, weeping.

sobbing (noun)	crying (noun)
convulsive gasp made while weeping	the process of shedding tears (usually accompanied by sobs or other inarticulate sounds)

sobbing (adjective)	crying (adjective)
	conspicuously and outrageously bad or reprehensible
	demanding attention