countenance vs demeanor

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. 

demeanor

noun
  • The social, non-verbal behaviours (such as body language and facial expressions) that are characteristic of a person. 

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