Neither of those US Presidents (Warren G. Harding or his successor Calvin Coolidge) refused their salaries. As Harding's Vice President, Coolidge received a salary of $12,000 and could not afford to buy a house in Washington DC.
George Washington tried to decline his salary as President but was convinced not to set a precedent that would affect less-wealthy Presidents. Herbert Hoover and John F. Kennedy donated their salaries to charity.
However...
Calvin Coolidge's very first public office, as a councilman for Northhampton, MA, paid no salary. His later elected offices were paying, but at least one kept him out of private practice, drastically curtailing his income.
The vice-president Calvin Coolidge, took office after Harding died.
Coolidge took office upon the death of President Harding on August 2,1923.
Calvin Coolidge (John Calvin Coolidge, Jr.) He took over the presidency when Warren Harding died on 2nd August 1923.
Calvin Coolidge
Coolidge cleaned up the scandals that Harding had seen in his administration. Otherwise, Coolidge for the most part stuck with Harding's foreign and economic policies which some believe led to trouble for the US.
President Calvin Coolidge took the oath of office August 3, 1923 after President Harding died from a supposed heart attack while on his tour of western U.S.
The Vice-president Calvin Coolidge assumed the presidency after Harding died in office.
He was the vice president when President Harding died on August 3, 1923. He was re-elected in 1924 to a full term of his own.
All three were conservative republicans. Harding became president in 1920 by winning the largest popular vote 60% to 34 %. Coolidge was him running mate and took office after Harding mysterious death. Coolidge will also run in the 1923 election and win the 1924 presidential election on his own ballot. Hoover runs for office in 1928 and win the election.
Woodrow Wilson was president until March 4,1921 when Warren Harding took office, so I guess you would say that Harding is the second president of the 1920's. Harding was followed by Coolidge and Hoover.
Calvin Coolidge President August 3, 1923. He used to be vice president but when president Harding died unexpectedly and so sudden in his office Coolidge stepped in and took the title as president and severed for six years.
Collidge was elected to just on term, in 124. He refused to run for another term in 1927. He also finished Harding's term which he took over after Harding died in office..