firebrand vs mischief-maker

firebrand and mischief-maker both are nouns.

Word	Noun	Adjective	Verb	Adverb
firebrand	Yes	No	No	No
mischief-maker	Yes	No	No	No

As nouns, mischief-maker is a hypernym of firebrand; that is, mischief-maker is a word with a broader meaning than firebrand:

Other hypernyms of firebrand include bad hat, trouble maker, troublemaker, troubler.

firebrand (noun)	mischief-maker (noun)
someone who deliberately foments trouble	someone who deliberately stirs up trouble
a piece of wood that has been burned or is burning