Wash chicken and place in large pot. Cover with water and add chopped vegetables, bay leaves, salt and pepper. Bring to a boil, then reduce heat and simmer for about 2 hours or until meat comes away easily from the bone. Remove chicken from broth and strain liquid. Reserve the broth and discard all vegetables.
When chicken is cool remove meat from the bones and all skin, keeping the chicken meat in reasonably large pieces.
To make the noodles(sliders): Beat the egg with some of the cooled broth, measure out the flour, work the egg mixture into the flour adding broth as required until the dough forms a ball. Knead the ball for a few minutes. Roll out the dough on a floured surface. Cut the dough into strips about 1 1/2 inches wide and 3 inches long. Don't worry if they are irregular in shape. Leave any excess flour on the noodles.
Bring the reserved broth to a rapid boil, add the noodles and let them boil for about 5 minutes. Reduce heat, add cut up chicken and simmer until the broth is very thick like gravy (add a little flour to thicken if required). Add salt and pepper to taste.
