Preheat oven to 400°F (200°C) and grease an 8x8 inch square baking pan.
In a large bowl, whisk together the flour, cornmeal, sugar, baking powder, and salt.
In a separate bowl, combine the milk, beaten egg, 1/4 cup melted butter, and 1/4 cup honey.
Pour the liquid ingredients into the dry ingredients and stir until just combined; do not overmix.
Pour the batter into the prepared baking pan and spread evenly.
Bake for 20 to 25 minutes, or until a toothpick inserted into the center comes out clean.
While the cornbread is warm, whisk together the remaining 2 tablespoons melted butter and 1 tablespoon honey.
Brush the honey butter glaze over the top of the cornbread before serving.