Cursed from deceiving the Devil in life, upon Jack's death he was left to roam with but a burning coal to light his way. Stingy jack carved a turnip lantern in which to place the coal.
Both traditions include the believe that on a certain day the boundaries between the living and spirits worlds are blurred.
The beliefs diverge in that the Aztecs welcomed the spirits arriving through the convergence of the two worlds whereas the Celts believed these spirits would damage crops and cause other trouble when they arrived.