birth name vs family name

birth name

noun
  • A name chosen for a child at birth, as opposed to a different name used subsequently. 

family name

noun
  • A surname. 

  • A given name common in a family, or already borne by someone in the family (in the context of naming someone in the family after that family member). 

How often have the words birth name and family name occurred in a corpus of books? (source: Google Ngram Viewer )