tea napkin vs table napkin

tea napkin and table napkin both are nouns.

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

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

tea napkin: a small napkin used when tea 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 tea napkin include napkin, serviette.

tea napkin (noun)	table napkin (noun)
a small napkin used when tea 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