Brewer's: Friar's Lanthorn
Sir W. Scott calls Jack o'Lantern Friar Rush. This is an error, as Rush was a domestic spirit, and not a field esprit follet. He got admittance into monasteries, and played the monks sad pranks, but is never called “Jack.” Sir Walter Scott seems to have considered Friar Rush the same as “Friar with the Rush (light),” and, therefore, Friar with the Lantern or Will o' the Wisp.
Better we had through mire and bush Been lanthorn-led by Friar Rush.
Milton also (in his L'Allegro calls Will o' the Wisp a friar, probably meaning Friar Rush:
She was pinched, and pulled, she said; And he by Friar's lantern led.
but “Rush” in this name has nothing to do with the verb rush [about] or rush [light]. It is the German Brüder Rausch, called by the Scandinavians Broder Ruus. (Scandinavian, ruus, intoxication, in German rausch, which shows us at once that Friar Rush was the spirit of inebriety. (See Robin Goodfellow.)