Bring a large pot of water to a boil over high heat. Add the beef bones and meat. Bring back to a boil. Drain and rinse the bones and meat under tap water for a couple minutes. Set aside to drain and cool.
In another large pot or Dutch oven over medium heat, add 1 tablespoon vegetable oil. Add onion and saute for 5 minutes. Add carrot and celery and cook for another 3 minutes. Add tomatoes and cook for 4 minutes. Stir in tomato paste and mix well. Add the bones, meat, 12½ cups water, chopped cabbage, bay leafs and black peppercorns (if using). Bring to a boil over high heat. Reduce to medium-low heat and cook for 1½ hours, stirring occasionally.
Remove the beef chunk meat and cut into bite size pieces. Put back to soup. Add potatoes if using and continue to cook for another 1½ hours. Season with salt, sugar, lemon juice, Worcestershire sauce, and black pepper. Taste and adjust with seasoning to your own taste. Remove bay leafs and peppercorns. Transfer to serving bowls. Serve immediately with dinner rolls (or Hawaiian rolls).