Rub the chicken quarters with lime, rinse, and pat dry. Sprinkle with salt.
In a suitable bowl, mix the rest of the ingredients and add the chicken. Rub mixture in thoroughly and allow to marinate in the refrigerator for at least 4 hours, preferably overnight.
Preheat the oven to 350 degrees F or light the barbecue.
Grill or roast the chicken slowly until very tender, for about 40 minutes.