Arrange chicken skin side up in roasting pan and season with salt and pepper.
In a bowl add oil,tomatoes, chilies, onion , garlic, salt to taste and toss well. Spread around chicken and roast in oven, 30 to 45 minutes, depending on which chicken parts you used.
Transfer chicken to platter and keep warm, tented with foil. To the vegetables in pan add broth and boil, over moderate heat, scraping up the browned bits until it has thickened. Add lime juice. Serve chicken with sauce and vegetables.