Cut chicken into pieces and simmer in 3 litre of water for a thin stew, or in 2 litre for a thick stew, until meat can be easily removed from bones, about 2 hours. Remove chicken from broth.
Add raw vegetables and simmer, uncovered, till beans and potatoes are tender, stirring occasionally to prevent scorching. Add chicken, boned and diced, and the seasonings; mix well and remove from heat. Let cool to room temperature, uncovered, then cover, refrigerate overnight.
Reheat over moderately-low heat to a slow simmer. DO NOT BOIL! Serve with warm biscuits or bread.
Notes: If canned vegetables are used, drain and include juices in chicken cooking liquid. Brunswick stew benefits from long slow cooking. In some homes, it is a rule that the stew cannot be eaten the day it is made. The flavor will always improve with age.