Preheat oven to 350 degrees. Place chicken in baking dish. Salt, pepper, and garlic to taste; use enough to put some in the bottom of dish. Cover chicken with oregano. Pour olive oil over entire chicken, covering bottom of dish. Add 1 1/2 cups of water to bottom of dish.
Bake at 350 degrees until golden and done. Baste frequently using juices. Add additional water and lemon juice to bottom of dish keeping about 1 inch of juice. Remove chicken leaving juice.
Cut and peel potatoes into quarters. Deep fry until golden brown. Place potatoes in baking dish with lemon and oil juice. Sprinkle with salt, pepper and oregano. Add additional water/lemon juice as needed (the more lemon the better). Juice should cover at least half of potatoes. Baste frequently.
Bake at least 1/2 hour (the longer they bake the better they taste). Serve above with Greek Salad, bread and feta cheese.