alliterator vs verbaliser

alliterator and verbaliser both are nouns.

Word	Noun	Adjective	Verb	Adverb
alliterator	Yes	No	No	No
verbaliser	Yes	No	No	No

As nouns, verbaliser is a hypernym of alliterator; that is, verbaliser is a word with a broader meaning than alliterator:

alliterator: a speaker or writer who makes use of alliteration
verbaliser: someone who expresses in language; someone who talks (especially someone who delivers a public speech or someone especially garrulous)

Other hypernyms of alliterator include speaker, talker, utterer, verbalizer, author, writer.

alliterator (noun)	verbaliser (noun)
a speaker or writer who makes use of alliteration	someone who expresses in language; someone who talks (especially someone who delivers a public speech or someone especially garrulous)