Preheat the oven to 400 degrees Fahrenheit.
Mix the dry ingredients (flour, cornmeal, sugar, baking powder, and salt) together in a medium bowl and set aside.
Melt one tablespoon of butter in a 10 inch cast-iron skillet or 8/9 inch round baking pan in the oven. This takes about three minutes. Swirl the butter around the pan coating the bottom and sides.
In a small bowl, combine the eggs, milk, and ¼ cup butter. Add this mixture all at once to the flour mixture and stir until just moistened. Pour batter into the hot skillet or baking pan. Bake for 15-20 minutes or until a wooden toothpick comes out clean. Serve warm.