rhyme vs doggerel verse

rhyme and doggerel verse both are nouns.

Word	Noun	Adjective	Verb	Adverb
rhyme	Yes	No	Yes	No
doggerel verse	Yes	No	No	No

As nouns, doggerel verse is a hyponym of rhyme; that is, doggerel verse is a word with a more specific, narrower meaning than rhyme:

Other hyponyms of rhyme include clerihew, doggerel, jingle, limerick.

rhyme (noun)	doggerel verse (noun)
correspondence in the sounds of two or more lines (especially final sounds)	a comic verse of irregular measure
a piece of poetry

rhyme (verb)	doggerel verse (verb)
compose rhymes
be similar in sound, especially with respect to the last syllable