backer vs runner-up

backer

noun
  • One who, or that which, backs; especially one who backs an entrant in a contest, or who supports an enterprise by funding it. 

runner-up

noun
  • The person who finishes second, or in any position after the first. 

  • Second favourite. 

How often have the words backer and runner-up occurred in a corpus of books? (source: Google Ngram Viewer )