barrenness vs birthday suit

barrenness

noun
  • The property of being barren; the property of not supporting life. 

birthday suit

noun
  • Nakedness, unclothed skin; an exposure of a human's natural anatomy without clothing. 

  • Used other than figuratively or idiomatically: see birthday, suit. 

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