States vs United States of America

States

name
  • Those parts of the United States comprising states rather than territories. 

  • The parliament of either of the two Channel Islands countries: the States of Guernsey or the States of Jersey. 

United States of America

name
  • A country in North America, stretching from the Atlantic to the Pacific Ocean, and including Alaska, Hawaii, and several territories. 

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