In a large bowl, mix together cornmeal, flour, sugar, baking powder and salt. Stir in the grated cheese. In a small bowl, whisk together the milk and eggs. Add the milk and eggs to the dry ingredients, mixing until combined. Stir in the butter, mixing until the batter is somewhat smooth but just combined. Pour the batter into the loaf pan, then place pan on a baking sheet and bake for 35 to 45 minutes, or until the top is golden and the bread is set. Let cool completely, then remove from the pan and cut into slices.