Saute celery, carrots, and onions in some vegetable oil in a large stockpot. Add chicken. Cover the chicken with water and bring to a boil. Reduce heat and simmer for 1 - 2 hours or until the chicken is falling off the bone.
Remove chicken from stock and let it cool. Skim the fat from the broth.
Once the chicken has cooled remove it from bones and shred or chop it into bite-size pieces.
Peel potatoes and chop them into 1-inch cubes.
To make the noodles mix together flour, salt, pepper, and baking soda.
Pour the flour mixture onto your counter. Make a well in the middle and add the eggs and butter into the well. Fold the mixture together and add enough warm water until you can make a non-sticky dough ball.
Cut the dough in half and roll it out onto a floured surface until it is the size of a cookie sheet.
Then cut the dough into 1-inch squares with a pizza cutter or knife.
Bring the chicken stock back to a boil. Add the cut up potatoes.
Then add the dough noodles one at a time, placing them where the bubbles are coming up. Stir in between.
Cook for 1/2 hour. Then add in the shredded chicken and green beans. Simmer for about 10 minutes and serve.
Notes
Store leftovers in an airtight container in the refrigerator for up to one week. Reheat in the microwave or on the stove.
Nutritional information is provided as a courtesy and is an estimate only. This information comes from online calculators. Although attempts have been made to provide accurate nutritional information, these figures are only estimates.