other political prisoners Administration and cabinet Edit Portrait of President Harding. Added by PhloxBot The Harding Cabinet OFFICE NAME TERM President Warren G. Harding 1921–1923 Vice President Calvin Coolidge 1921–1923 Secretary of State Charles Evans Hughes 1921–1923 Secretary of the Treasury Andrew Mellon 1921–1923 Secretary of War John W. Weeks 1921–1923 Attorney