lollipop vs peppermint stick

lollipop

noun
  • An item of confectionery consisting of a piece of candy/sweet attached to a stick. 

  • Something having the shape of a lollipop: a linear stem connected to a round body. 

peppermint stick

noun
  • Synonym of candy cane 

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