Madden produced such standards as “By the Light of the Silvery Moon”, “On Moonlight Bay”, “Down in Jungle Town”, “Blue Bell”, “Look Out for Jimmy Valentine”, “Aren't You the Wise Ole Owl”, “My Only One”, “What Could Be Sweeter?”, “The World Can't Go ‘Round Without You”, “Red Rose Rag”, “Silver Bell”, “Arra Wanna”, “I've Got a Feelin' for You”, “A Little Boy Called Taps”, "It Takes the Irish to Beat the Dutch" and “I'd Rather Be a Lobster Than a Wise Guy”. He and composer Theodore Morse wrote the American Civil War song "Two Little Boys".