Guest Mando Man- There are many La Llorona stories, not just one, depending on the location where the story was found, from the 16th c. Aztec poem to the folk tales from New Mexico and southern Colorado where the tales multiplied and diversified. Most are stories, not song.
The most sung is the version from Tejuantepec by Luis Martz. Escamilio posted this one in thread 12887: La Llorona
Most are in Spanish only. Haven't found any useful chords.