castoff vs tatty

castoff

adj
  • discarded, rejected. 

noun
  • Something that has been rejected or discarded; a reject. 

tatty

adj
  • Tattered; dilapidated, distressed, worn-out, torn 

noun
  • A woven mat or screen hung at a door or window and kept wet to moisten and cool the air as it enters. 

  • A potato. 

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