Preheat oven to 350 degrees. Grease and flour two 9-inch pie dishes.
In a large mixing bowl, use a hand mixer (or stand mixer) to combine eggs, sugar, milk, flour, butter, and vanilla.
Fold in the coconut flakes.
Pour the mixture evenly into the two pie dishes.
Place the pies into the oven and bake for 35-40 minutes or until the tops are golden brown.
Remove from the oven and allow to cool completely before serving.
Store covered in the refrigerator for up to 3 days or in the freezer for up to 6 months.
*A gluten-free flour blend may be substituted for the self-rising flour. In addition, you'll need to add 1 1/2 teaspoons of baking powder and 1/2 teaspoon of salt. We have not attempted the recipe with any other substitutions.