In a bowl, whisk together cornmeal, flour, sugar, baking powder, baking soda, and salt. In a measuring cup, beat eggs into the buttermilk and add to the dry ingredients. Stir. Stir in melted butter.
In a bowl, crumble cornbread muffins. Dice bread and add to the bowl. Stir in salt and spices. In a saucepan, add celery, onion, water, and butter. Saute.
Pour the liquid over the cornbread and bread cubes. Stir. Stir in chicken broth. Beat eggs into milk and add into bowl. Stir. Pour into a pan.
Bake and let cool.