Listen to Song: Come, Heavy Sleep online. Song: Come, Heavy Sleep is an English language song and is sung by The Rose Consort of Viols, Caroline Trevor and Jacob Heringman. Song: Come, Heavy Sleep, from the album John Dowland's Lachrimae or Seaven Teares, was released in the year 2011. The duration of the song is 4:32. Download English songs online from JioSaavn.