From the liner notes to Joan Morris and William Bolcom's Moonlight Bay: Songs As Is and Songs As Was:

'"Some Little Bug Is Going to Find You" was written in response to the germ scare of 1915. (Three years later, the great influenza epidemic would kill more people in the United States than the number of U.S. forces killed in the entire First World War.) The actor, Roy Atwell, who co-wrote the lyrics with Benjamin Hapgood Burt, interpolated the song into Franz Lehar's musical, Alone at Last, where it became the biggest hit of the show.'

Silvio Hein wrote the music. Joan speaks rather than sings the lyrics in her rendition.