Right now eggs are $5.++ a dozen because of bird flu. For bakers and breakfast businesses that's a problem.
I happened to come across a recipe that was popular during the Depression Era for a cake that uses no eggs or milk. Here is the recipe:
Wacky cake is made without milk or eggs and is a moist, dark, and delicious chocolate cake. A brainchild of the Depression era when ingenious cooks developed a cake that could be made without expensive and scarce ingredients. Frost with your favorite icing.
Ingredients
1 ½ cups all-purpose flour
1 cup white sugar
4 tablespoons unsweetened cocoa powder
1 teaspoon baking soda
½ teaspoon salt
6 tablespoons vegetable oil
1 tablespoon cider vinegar
1 teaspoon vanilla extract
1 cup water
Directions
Preheat the oven to 350 degrees F (175 degrees C).
Sift flour, sugar, cocoa powder, baking soda, and salt together in an 8x8-inch ungreased cake pan. Make 3 depressions in flour mixture; pour oil into one well, vinegar into second, and vanilla into third well. Pour water over all, then stir with a fork until well blended.
Bake in the preheated oven until a toothpick inserted into the center comes out clean, 30 to 40 minutes. (allrecipes)
1
No mixing bowl needed. All ingredients can be mixed in the pan.

Here are some websites to view
Italian Chef Wacky Cake. Eight Variations
Sweet Little Bluebird -Vanilla Crazy Cake
That's it ***