Combine meat, 1 quart water, celery leaves, parsley, bay leaf, and salt in a medium Dutch oven. Cover and simmer 1 1/2 hours. Stir in potatoes, rutabaga, and onion; cover and simmer an additional 45 minutes or until vegetables are tender.
Combine 3 tablespoons water, flour, and Worcestershire sauce; stir until smooth. Stir flour mixture into stew, and cook over medium heat until slightly thickened. Remove and discard bay leaf.
Serve stew hot in individual bowls.