Pour beer into mixing bowl. Cut chicken into pieces and soak in beer for 2-3 minutes. Heat the shortening in a cast iron skillet over medium-high heat. In a resealable plastic bag, combine the flour, salt and pepper. Shake one or two chicken pieces at a time in the bag to coat, then place in skillet. Repeat this process until all chicken pieces are coated and in the skillet. Fry the chicken over medium-high heat, turning frequently, until all the pieces are browned on both sides. Turn the heat to medium low, cover and cook for 25 minutes. Remove lid, turn chicken pieces (to keep them from sticking to skillet). Increase heat to medium high. Continue frying until chicken pieces are a deep golden brown, and the juices run clear..