The basis for this episode and the opening quote come from "The Story of the Three Bears."
The wife's name, Diana, is the name of the Roman goddess of the hunt.
Amy Gumenick, who plays Gilda and knows nothing about the monsters in life, played young Mary Winchester in Supernatural and is a monster hunter and mother of monster hunters Sam and Dean.
"Jäger" is a permutation of the German word for "hunter;" "bar," of "bear." Together, in the bastardized German of Grimm lore, they mean "hunter bear."
The Tale of Goldilocks and the Three Bears is not a part of Grimms' Fairy Tales, although there are parallels to the Tale of Snow White and the Seven Dwarves, which is a lot more famous in Germany because it is one of Grimms' Fairy Tales.