According to Florece E. Brunnings' Folk Song Index (Garland), English titles include "At Pierrot's Door"; "By the Moon's Pale Light"; "By the Pale Moonlight"; "By the Shining Moonlight"; "Good Pierrot"; "Here Beneath the Bright Moon"; and "In the Gentle Moonlight". It is also the tune of "The Mad Mice" (Greek).

BY THE PALE MOONLIGHT and UNDERNEATH THE MOONLIGHT are in the DT & Forum (linked to at the top).