" "The Woodchuck" tongue twister is from the refrain of the "Woodchuck Song" by Robert Hobart Davis and Theodore F. Morse. The song debuted in an American summer hit comedy musical "The Runaways", which had a run of 167 performances  between May and October, 1903 at New York City's Casino Theater."

"The song was sold to consumers as sheet music featuring actress/singer/comedian Fay Templeton and on Edison wax cylinders, which predated flat phonograph records, performed by Ragtime Bob Robert's."

Source: ThoughtCo (www.thoughtco.com)