In S1E12, Luke tells Lorelai that he won’t technically be eating dinner with her because he’s working. Lorelai says, “Yeah, but after three cheeseburgers, you’re done, unless you’re expecting Elijah to stop by.”
Elijah was an Old Testament prophet. He once visited a widow’s home and asked for a meal, but the widow was almost out of food. She and her son were on the brink of starving, but she used the last of her food to feed Elijah. He in turn blessed her with never-ending jars of oil and flour.