muffin man vs packman

muffin man and packman both are nouns.

Word	Noun	Adjective	Verb	Adverb
muffin man	Yes	No	No	No
packman	Yes	No	No	No

As nouns, packman is a hypernym of muffin man; that is, packman is a word with a broader meaning than muffin man:

muffin man: formerly an itinerant peddler of muffins
packman: someone who travels about selling his wares (as on the streets or at carnivals)

Other hypernyms of muffin man include hawker, peddler, pedlar, pitchman.

muffin man (noun)	packman (noun)
formerly an itinerant peddler of muffins	someone who travels about selling his wares (as on the streets or at carnivals)