Alan Mills composed the classic folk song that tells the story of what? 
Alan Mills (music):  He was best known for popularizing Canadian folk music, and he composed the classic folk song "I Know an Old Lady Who Swallowed a Fly" (with lyrics by Rose Bonne) which was later recorded by Burl Ives, Peter Paul and Mary and many others. There Was an Old Lady Who Swallowed a Fly:  The song tells the story of an old woman who swallowed increasingly large animals, each to catch the previously swallowed animal.
woman who swallowed increasingly large animals