One of the most well known and financially successful political cartoonists of the late 19th and early 20th centuries, Davenport is particularly remembered for his satirical representations of turn-of-the-century politicians William McKinley and Mark Hanna.
Before establishing himself as the New York Morning Journal's primary cartoonist, he contributed to a number of other publications, including the San Francisco Examiner and the Chicago Daily Herald.
He had a successful second career as a breeder of Arabian horses.
Born and raised in Waldo Hills, Oregon, he later settled in New York, New York. Before separating in 1909, he and his wife, Daisy Moor, welcomed daughters named Gloria and Mildred and a son named Homer Clyde.
Though he often drew critical cartoons of Republican Party politicians, Davenport created a flattering image of President Theodore Roosevelt for a 1904 edition of the New York Evening Mail.