Drain the chickpeas after soaking overnight. Place in a saucepan, add fresh water to cover, bring to a boil, and simmer, covered, over low heat until half-cooked, about 45 minutes. Set aside.
Meanwhile, peel the eggplant and cut into 1-inch cubes. Sprinkle lightly with the coarse salt and let stand in a colander to draw off excess moisture, about 45 minutes. Set aside.
Chop the onions. Chop both the large pepper and small chili into small pieces. Peel and crush the garlic with pinch of salt. I used a mortar and pestle for this.
Preheat the oven to 300F (if baking instead of using a crock pot).
Heat the oil in a 12-inch skillet. Add the onions, frying pepper, and chili. Stir 3 minutes.
Add the eggplant and saute without browning it, 2 more minutes. Add the garlic, tomatoes with juice, parsley, oregano, and 1 teaspoon coarse salt. Cook at a simmer 10 minutes, stirring often.
In a 4-quart oven-proof cast iron pot, bean pot, clay casserole, or crock pot, mix the chickpeas, 1 3/4 cups of their cooking liquid, the bay leaf, and the contents of the skillet.
Cover and bake in the oven 2 1/2 hours, or alternatively all day in the crock pot. The aroma will be extremely fragrant, and the chickpeas very tender.
Remove the lid and bake 10 minutes more to allow excess moisture to evaporate.
Serve with dense, chewy bread or rice pilaf.