paternity vs fatherhood

paternity and fatherhood both are nouns.

Word	Noun	Adjective	Verb	Adverb
paternity	Yes	No	No	No
fatherhood	Yes	No	No	No

As nouns, paternity and fatherhood are synonyms defined as:

paternity and fatherhood: the kinship relation between an offspring and the father

paternity (noun)	fatherhood (noun)
the act of initiating a new idea or theory or writing	the status of a father
the kinship relation between an offspring and the father	the status of a religious leader
the state of being a father	the kinship relation between an offspring and the father