Calvin Coolidge to work jointly with Edward T. Clark, a Massachusetts Republican organizer whom he retained from his vice-presidential staff, as Secretaries to the President (a position equivalent to the modern White House Chief of Staff). Perhaps the most powerful person in Coolidge's Cabinet was Secretary of the Treasury Andrew Mellon, who controlled the administration's financial policies and was regarded by many, including House Minority Leader John Nance Garner, as more powerful than Coolidge himself. Secretary of Commerce Herbert Hoover also held a prominent place in Coolidge's Cabinet, in part because Coolidge found value in Hoover's ability to win positive publicity with
Arthur W. Coolidge Theta Delta Chi. In 1951 he was elected as a member of the Massachusetts Society of the Sons of the American Revolution. A fourth cousin to President Calvin Coolidge, he had one daughter, Dorothy Coolidge Cox and two sons: Robert Tilton Coolidge (1915–1955) and Arthur William Coolidge II. One of his grandchildren is film director Martha Coolidge. He was brother of Massachuestts politician Richard B. Coolidge. Coolidge died at his home in Boston and is buried in Forest Glen Cemetery, Reading, Massachusetts. The Arthur W. Coolidge Middle School, formerly Junior High School, was named in his honor. Arthur W. Coolidge