On the stove-top, place a skillet over medium-high heat, when the pan is hot, add enough cooking oil to coat the bottom of the pan. Brown the Brisket on both sides. Add the brisket to the slow cooker.
Add the onions and carrots around and on top of the roast.
Sprinkle over the salt, pepper, thyme, rosemary, and minced garlic. Pour over the Worcestershire sauce.
Pour over the beef broth, wine and tomato sauce over the brisket.
Cover and cook on HIGH for 5 hours. Add one more hour if you want the meat to shred, not slice.
When the cooking time is done, remove the brisket onto a cutting board. Let it rest for 10 minutes, then slice against the grain for the most tender slices (or shred, if desired).
Before adding the meat back to the slow cooker, degrease the sauce by laying paper towels on top, then quickly lifting them off. Discard the paper towels, then return the meat to the sauce.
Serve the beef, onions, carrots, and sauce with desired sides.