dinner napkin vs table napkin

dinner napkin and table napkin both are nouns.

Word	Noun	Adjective	Verb	Adverb
dinner napkin	Yes	No	No	No
table napkin	Yes	No	No	No

As nouns, table napkin is a hypernym of dinner napkin; that is, table napkin is a word with a broader meaning than dinner napkin:

dinner napkin: a large napkin used when dinner is served
table napkin: a small piece of table linen that is used to wipe the mouth and to cover the lap in order to protect clothing

Other hypernyms of dinner napkin include napkin, serviette.

dinner napkin (noun)	table napkin (noun)
a large napkin used when dinner is served	a small piece of table linen that is used to wipe the mouth and to cover the lap in order to protect clothing