UPDATE- From Robert Kuntz and others in the comments section, another entry we missed:
Rumpole, as surprised as I am sure we all are, you are wrong. Tony Roma's is not the only place in town that serves beef ribs.
Shiver's BBQ on South Dixie serves brontosaurus-sized beef ribs that are outstanding.
The place also has collard greens and black-eyed peas, a swell corn casserole, and fired pickles -- all required for a great barbecue joint. The gigantic incongruous mural depicting western pioneers is nifty, too.
The place has been in the same family for something like 60 years and, while Shorty's has much to recommend it, I'd give Shiver's the nod as best in town.
Thought I'd chime in to stand up for a south county institution.