In a roasting pan, roast chicken pieces until golden brown, approximately 1 hour. Remove chicken from the pan and set aside. Deglaze pan with approximately 1 cup of water by scraping the bottom of the pan with a wooden spoon to lift up the brown bits. Transfer liquid to a large stockpot. Once chicken has cooled, separate the meat from the skin and bone and set aside in a bowl. Add bone and skin to stockpot. Pour 2 gallons water into the pot along with unpeeled onions, carrots, and celery. Bring to a boil, reduce the heat and let simmer for 2 hours, covered. Drain fat, bones, and vegetables with cone strainer from the broth into a bowl and return strained broth to stockpot. Add peeled onion, salt, and pepper, to taste. Simmer for another 30 minutes or until onions are tender. Keep warm.
Grate potatoes with either a hand grater or juice extractor. Measuring 2 cups at a time, scoop potato mush into cheesecloth and squeeze until all the liquid is removed. Do not discard liquid until measured for its volume. Place potato pulp into a large mixing bowl, while slowly stirring with a wooden spoon, add hot chicken broth measured to the same volume as the discarded potato starch liquid. Potato mixture consistency is correct when the wooden spoon just slightly falls over when made to stand up in the mix. Season with salt and pepper, to taste.
Preheat oven to 350 degrees F.
In a saute pan, fry the salt pork just to render the fat, remove salt pork, and set aside. Add the rendered fat to the roasting pan. Add a 1-inch layer of potato mixture on top of the fat, then layer reserved chicken meat and repeat process until last layer of potato mixture is on top. Add salt pork strips to the top of your potato pie and bake for 3 hours or until a brown crust is formed.
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