One wag remarked that Coolidge looked like he had been weaned on a pickle. LOL
As for Harding, the book to read is Shadow of Blooming Grove, a book so controversial that the Harding family of today got passages of the book suppressed. Nan Brittan’s book, the President’s Daughter, was heavily suppressed at the time, too.
Tea Pot Dome was the scandal Harding is best remembered for, although he likely knew nothing about it at the time. His personal life, however, has to be read to be believed.