Preheat the oven to 450°F.
Cut an X into the round end of each chestnut, place on a rimmed baking sheet, put in the oven and add 1/4 cup water to the pan. Roast for 10 minutes; the shells should peel back where they were cut. Remove pan from the oven, let chestnuts cool a minute or two then peel while the chestnuts are still warm. Chip coarsely.
Decrease the oven temperature to 350°F. Spread the breadcrumbs on a baking sheet and bake until dry and golden, 15 minutes. Put in a large bowl with the chestnuts and cornbread.
In a large sauté pan over medium heat, melt the butter. Add the onion, celery and chopped liver, and cook until the vegetables are soft, about 8 minutes. Add to the bowl with the chestnuts.
Stir in the eggs, parsley, sage, salt, pepper and chicken stock. Spoon stuffing into a buttered 3-quart baking dish and bake, covered, for 30 minutes. Uncover and bake for another 30 minutes, until browned.