Dining Room Barrel Chairs . 4 things to know before buying a papasan chair. An irish country style barrel back tub chair with slatted backrest and cushioned seat above out flaring legs and finished in our dark ale (pub) color. Crate & Barrel Purple Upholstered Dining Chairs, Set of Six Design from www.designplusgallery.com You can accomplish this by loosening the screws on the bottom of the seat that hold it to the chair. Barrel dining room chairs have been made for many years, and versions that date back to the 19th century alongside those produced as recently as the 21st century. Burt patio dining chair (set of 2) $178.