Preheat oven to 400°F (200°C).

Grease a baking pan.

In a large mixing bowl, combine self-rising flour, self-rising cornmeal, cooking oil, cream-style corn, chopped bell pepper, and chopped onion.

In a separate bowl, beat the eggs well.

Add the beaten eggs and milk to the cornmeal mixture.

Mix all ingredients together until well combined.

Pour half of the batter into the prepared baking pan.

Sprinkle half of the grated sharp cheese over the batter.

Pour the remaining batter over the cheese.

Sprinkle the remaining cheese on top of the batter.

Bake in the preheated oven for 30 minutes, or until golden brown and a toothpick inserted into the center comes out clean.