Add the broth (it should come about halfway up the sides of the carrots), honey, thyme, salt, and pepper. Cover and cook at a simmer until the carrots can be pierced easily with a fork. If the pan has dried before this has happened, add a little bit of water and continue braising. If liquid remains in the pan when the carrots are done, remove the lid and continue cooking for a few minutes until the pan is nearly dry.
~¼ cup chicken or vegetable broth, 1 tablespoon honey, ¼ teaspoon dried thyme, ¼ teaspoon salt