Preheat oven to 400°F. Grease a 9 x 13 pan with butter.
In a medium bowl, cream butter and sugar together until smooth. Beat in the eggs. In a small bowl, whisk together the flour, corn meal, baking powder, and salt.
Add half the flour mixture to the egg mixture and beat to combine. Add the milk, beat again, and then add the remaining dry ingredients.
Stir again, just until combined. Pour into the prepared pan and bake for 23-25 minutes. When the cornbread is very lightly browned on the edges and cracked in the center, it is done. Serve the cornbread warm with a generous amount of butter.
Notes
This cornbread can also be baked in (2) 8-inch square pans for about 20 minutes.