"Lay Down Your Weary Tune" is a song written by Bob Dylan in 1963. Dylan originally recorded it for his album The Times They Are a-Changin', but his version of the song was not officially released until 1985 on the Biograph box set. In the album liner notes, Dylan claims that in the song he was trying to capture the feeling of a Scottish ballad he had just heard on a 78 rpm record. The specific ballad Dylan was referring to has not been identified, but speculation includes "The Water Is Wide", "O Waly, Waly" and "I Wish, I Wish".

William Randall Henderson was an American television and film actor, and jazz singer.