M H is correct and wrong all at the same time!! It’s kind of like a "letter of the Law and Spirit of the law" thing. I have enjoyed both Burgoo and Brunswick stew. They have a number of things in common… They look alike, They smell pretty much the same, The variations in specific recipes are almost endless, and in most cases they have a common thread of taste. That said, the Burgoo that we enjoy along the Ohio River tends to be focused on the Owensboro version of the product and that does contain pieces of mutton. The recipe that is served at the huge Post-Derby Breakfast in Bardstown, KY every year does not…and it is called Burgoo also.
You can order some of the Mutton-based Burgoo using the website for the Moonlite BBQ in Owensboro if you are interested in testing the ‘soup’ it matches any Brunswick Stew I found ‘Over East’.