birthplace vs place of birth

birthplace and place of birth both are nouns.

Word	Noun	Adjective	Verb	Adverb
birthplace	Yes	No	No	No
place of birth	Yes	No	No	No

As nouns, birthplace and place of birth are synonyms defined as:

birthplace (noun)	place of birth (noun)
the place where someone was born	the place where someone was born
where something originated or was nurtured in its early existence