There is very little difference between the two recipes, as they contain many of the same ingredients and the cooking method applied is essentially the same as well. However, sometimes the ingredients will vary a little bit, and reflect the location of their origin. For example, traditional Kentucky burgoo recipes will contain mutton and lamb, whereas a Brunswick Stew would never contain either one of those. But there is major crossover between the two dishes, that is for sure. If you happen to have my second cookbook, Southern Lights, there is a healthier take on a Brunswick Stew that I always enjoy and have made SO many times. Whatever you want to call it, this hearty and substantial combination of simple ingredients is always a hit.