family vs ancestry

family and ancestry both are nouns.

Word	Noun	Adjective	Verb	Adverb
family	Yes	No	No	No
ancestry	Yes	No	No	No

As nouns, ancestry is a hypernym of family; that is, ancestry is a word with a broader meaning than family:

family (noun)	ancestry (noun)
primary social group; parents and children	inherited properties shared with others of your bloodline
people descended from a common ancestor	the hereditary derivation of an individual
a social unit living together
(biology) a taxonomic group containing one or more genera
a collection of things sharing a common attribute
an association of people who share common beliefs or activities
a loose affiliation of gangsters in charge of organized criminal activities
a person having kinship with another or others