Preheat oven to 325° F. and butter a 4-quart baking dish.
Cut corn bread into 1/2-inch cubes and dry in 2 large shallow baking pans in oven 20 minutes.
Remove corn bread from oven and leave oven at 325° F. Coarsely chop separately celery, onions, and bacon.
In a large, deep skillet sauté bacon over moderately high heat, stirring, until browned, about 10 minutes.
Add celery and onions and cook, stirring, until vegetables are softened, about 5 minutes.
Add herbs and salt and pepper to taste and cook, stirring, 1 minute.
In a large bowl toss together corn bread and bacon mixture and transfer to baking dish. Stuffing may be prepared up to this point 1 day ahead and cooled completely before being chilled, covered.
Drizzle stock or broth over stuffing and bake, covered, 1 hour.
Drizzle reserved fat or butter over stuffing and bake, uncovered, in upper third of oven 30 minutes more, or until top is golden.
