Chicken and Dumplings

1 large frying chicken
3 C. self-rising flour
2 Tbsp. shortening
salt and pepper
1 C. + ice cold water

Place chicken in large Dutch oven and cover with water. Add salt and pepper (about 2 Tbsp. salt and 1/2 tsp. pepper). Simmer chicken until very tender and meat is falling off bones, about 45 min. Remove chicken from pot, debone and return meat to broth.
In a large mixing bowl, cut shortening into flour. Add enough cold water to form a firm dough, kneading until smooth.
Roll dough out on floured surface and roll out very thinly. Cut dough into strips approximately 1 X 3 in. Drop strips of dough into boiling broth one layer at a time, stirring to blend before adding another layer. Cover and continue to cook about 15 min.