Place smoked meat in water along with spices and bouillon. Cook over low heat for 1 1/2 hours. Strip turnip leaves free of the big stem that runs down the center of each leaf. Wash in a sink full of clean water. Drain and wash twice more, since greens can often be sandy. Peel and slice or quarter roots. Add greens to meat; cook for another 30 minutes, stirring often. Add roots and continue to cook for approximately 15 minutes, or until roots are tender. (Reserve 2/3 cup turnip liquid for the dumplings.) Add butter and sugar.
For dumplings: Mix cornmeal, salt, onion, and egg. Dipping by teaspoonfuls, gently roll batter in the palms of your hands into approximately 1-inch balls; drop into boiling turnip liquid Make sure each dumpling is completely covered in liquid by shaking the pot gently; do not stir. Boil for about 10 minutes.