ANTIQUES ROADSHOW continues its visit to Providence, Rhode Island, home of the renowned culinary school at Johnson and Wales University. Mark Walberg and appraiser J. Michael Flanigan meet at the school's archives and museum to sink their teeth into the world of vintage kitchen collectibles. Things are really heating up at the Rhode Island Convention Center, where appraisers discover such tempting treats as a set of dollhouse furniture made in the 1920s by Providence manufacturer Tynie Toys and decorated by students at the Rhode Island School of Design; original production puppets from the 1964 animated film Rudolph, The Red-Nosed Reindeer; and a rare 1908 first edition copy of Anne of Green Gables, bought at a flea market for about $5 and since stored in an attic, valued at $12,000 to $18, 000.