Preheat the oven to 350° F.
Whisk the sugar, cornmeal, and salt together.
In a separate bowl, whisk together the eggs, sugar, evaporated milk, and melted butter. Make sure the butter is cool enough to not scramble the eggs.
Combine the dry and wet ingredients in a mixing bowl. Mix on medium speed until everything is combined.
Add the vanilla extract to the mixture and stir until it is just combined.
Pour the batter evenly into the uncooked pie crust.
Bake the pie at 350° F for around 45 minutes until the center is set. Start checking the pie at 30 minutes.