sadden vs tug at someone's heartstrings

sadden

verb
  • To darken a color during dyeing. 

  • To make sad or unhappy. 

  • To become sad or unhappy. 

  • To render heavy or cohesive. 

tug at someone's heartstrings

How often have the words sadden and tug at someone's heartstrings occurred in a corpus of books? (source: Google Ngram Viewer )