Preheat oven to 375 degrees F.
Melt butter and sweet vegetables until tender. Add ham and cook over low heat for 2 more minutes. Set aside to slightly cool. Whisk together eggs, stock, cream and herbs and season with salt and pepper, to taste. Combine all items, including cornbread, in a 4-quart lasagna pan and cook covered for 30 minutes. Uncover and cook for additional 20 minutes or until crusty.