Combine first 3 ingredients in a large Dutch oven; bring to a boil. Cover, reduce heat, and simmer 1 hour or until tender. Remove chicken, and cool slightly.
Preheat oven to 325°.
Bone chicken; cut chicken into bite-size pieces. Combine chicken, chicken soup, and next 3 ingredients, stirring well.
Place half of crushed crackers in an 11- x 7-inch baking dish coated with cooking spray; spoon chicken mixture evenly over crackers. Top with remaining crackers, and drizzle with margarine. Bake, uncovered, at 325° for 35 minutes or until lightly browned.