In a large mixing bowl, stir together 1 cup all purpose flour and 1 tsp salt. Make a well in the center, and add the egg and egg yolk, beaten. Stir together until well incorporated. Add water, 1 Tbsp at a time, and stir until dough forms a ball. Turn onto a floured surface, and add flour as needed while kneading until smooth. Wrap in plastic wrap and refrigerate for 20 minutes.
In a stock pot, melt the butter, and add the celery, green onions and garlic. Cook and stir for several minutes on medium heat until celery begins to become translucent. Add the chicken, cook and stir about 5-10 minutes more, until chicken is cooked through. Add stock, ginger, parsley, dill and thyme, Simmer over medium heat while preparing noodles.
Place chilled dough onto floured surface, sprinkle flour on top, and roll out to about 1/8 inch thickness (may need to add more flour as you go to keep rolling pin from sticking). Using a knife or a pizza cutter, slice dough into long strips, gently pick up strips and lay them on a dish towel to dry. After about 15-20 minutes, cut the strips into desired lengths. I prefer about 1 1/2-2 inches long. Place the noodles into the simmering stock. Cover and cook for 15-20 minutes, or until noodles are done. Add the peas, and cook an addition 5-10 minutes. If you desire a thicker soup, dissolve the 2 Tbsp cornstarch in warm water, and stir in to soup. Cook an additional 5 minutes.