In a large pot, combine the salt pork, chicken, and water. Bring to a boil over high heat, then reduce to low and cover. Let it simmer for about 45 minutes, or until the chicken becomes tender and fully cooked.
Once the chicken has cooled enough to handle, take it out of the pot. Discard the skin and bones, then shred the meat into small, bite-sized pieces. Add the chopped chicken back into the pot to continue simmering in the broth.
Stir in the potatoes, onions, tomatoes, corn, lima beans, Worcestershire sauce, salt, and pepper. Mix everything together thoroughly, then let the stew simmer uncovered for about an hour to blend the flavors.