castoff vs hand-me-down

castoff

adj
  • discarded, rejected. 

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

hand-me-down

adj
  • Used or second-hand, passed along by its prior user. 

verb
  • To pass along to someone else. 

noun
  • A piece of clothing or other item which has been outgrown by an older sibling and passed down to a younger one. 

  • An item that is passed along for someone else to use. 

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