Preheat oven to 400°F. Grease or line a 9"x 9" baking dish with parchment paper.
In large bowl combine the cornmeal, flour, sugar, baking powder, and salt. Set aside.
In a small bowl, whisk together the butter, non-dairy milk, and vegan egg. Add mixture to the dry ingredients and stir with a spatula or wooden spoon until just combined, don't overmix. Stir in the sweet corn, if using.
Transfer the batter into the prepared baking dish. Bake for 20-25 minutes, until a toothpick inserted into the center comes out clean. Let cool for 15 minutes. Slice and serve with vegan butter and/or maple syrup.