mug vs toby jug

mug and toby jug both are nouns.

Word	Noun	Adjective	Verb	Adverb
mug	Yes	No	Yes	No
toby jug	Yes	No	No	No

As nouns, toby jug is a hyponym of mug; that is, toby jug is a word with a more specific, narrower meaning than mug:

mug: with handle and usually cylindrical
toby jug: a drinking mug in the shape of a stout man wearing a three-cornered hat

Other hyponyms of mug include beer mug, stein, coffee mug, toby, toby fillpot jug.

mug (noun)	toby jug (noun)
with handle and usually cylindrical	a drinking mug in the shape of a stout man wearing a three-cornered hat
the human face (`kisser' and `smiler' and `mug' are informal terms for `face' and `phiz' is British)
a person who is gullible and easy to take advantage of
the quantity that can be held in a mug

mug (verb)	toby jug (verb)
To stare awkwardly
rob at gunpoint or with the threat of violence