coat rack vs hat rack

coat rack

noun
  • A rack or stand with hooks or pegs for holding hats and coats, often placed near an entrance for temporary use 

hat rack

noun
  • A piece of furniture used to store hats and clothing, consisting of a pole with pegs on a moderately broad base; a hatstand. 

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