baby face vs countenance

baby face

noun
  • A face, often chubby, resembling that of a baby; a youthful face. 

  • A person having such a face, especially a young man having a beardless appearance. 

  • A headlining wrestler with a persona embodying heroic or virtuous traits and who is regarded as a "good guy", especially one who is handsome and well-conditioned. 

countenance

noun
  • Appearance, especially the features and expression of the face. 

  • Favour; support; encouragement. 

  • Calm facial expression, composure, self-control. 

verb
  • To tolerate, support, sanction, patronise or approve of something. 

How often have the words baby face and countenance occurred in a corpus of books? (source: Google Ngram Viewer )