comfort vs one's heart goes out to

comfort

verb
  • To relieve the distress or suffering of; to provide comfort to. 

  • To make comfortable. 

noun
  • A cause of relief or satisfaction. 

  • Something that offers comfort. 

  • A consolation; something relieving suffering or worry. 

  • Contentment, ease. 

one's heart goes out to

How often have the words comfort and one's heart goes out to occurred in a corpus of books? (source: Google Ngram Viewer )