Preheat the oven to 400 degrees F. Grease a 10-inch cast iron skillet.
In a large bowl, stir together the cornmeal, flour, baking powder, salt, and brown sugar. Whisk the eggs, milk and melted butter in a medium size bowl, and stir this into the dry ingredients. Add the corn, cheese, carrots, onion, and jalapeno pepper, and stir to thoroughly combine.
Pour the batter into the skillet and bake for 30 to 35 minutes, until a toothpick inserted in the center comes out clean. Transfer to a wire rack to cool.
This recipe is from B.'s book: B. Smith's Entertaining and Cooking for Friends, Published by Artisan, a division of Workman Publishing Copyright 1997 Barbara Smith