As the kitchen manager at the Odd Soul, a pizzeria and bar in Springdale, Arkansas, Addie Hayes is used to spending Saturday mornings in front of a stove. But today, she’s a little out of her element.

If you were to flip open a 1975 edition of The Joy of Cooking, you might be startled by an illustration that demonstrates how to skin a squirrel. The page includes instructions on how to prepare a ...