first minister vs head of government

first minister

noun
  • The principal minister of a ruler or state. 

  • A leader of a devolved government such as Scotland, Wales, or Northern Ireland. 

  • The prime minister or a provincial or territorial premier. 

head of government

noun
  • The chief officer of the executive branch of a government, often presiding over a cabinet; usually called Prime Minister (in a parliamentary system) or President (in a presidential system). 

How often have the words first minister and head of government occurred in a corpus of books? (source: Google Ngram Viewer )