wallet vs pocketbook

wallet and pocketbook both are nouns.

Word	Noun	Adjective	Verb	Adverb
wallet	Yes	No	No	No
pocketbook	Yes	No	No	No

As nouns, wallet and pocketbook are synonyms defined as:

wallet and pocketbook: a pocket-size case for holding papers and paper money

Other synonyms of wallet include billfold, notecase.

wallet (noun)	pocketbook (noun)
a pocket-size case for holding papers and paper money	a container used for carrying money and small personal items or accessories (especially by women)
	pocket-sized paperback book
	a pocket-size case for holding papers and paper money
	your personal financial means