A reversible upholstery dress cover article includes a fabric web, an obverse finish layer covering an obverse face of the web, a reverse finish layer covering a reverse face of the web, a relatively flexible tape attached around an edge of the web, and a relatively stiff ribbon attached in the tape. The tape spaces the ribbon apart from the edge of the web and the tape can be folded to bring the ribbon against either the obverse finish layer or the reverse finish layer without folding the web. The tape is folded around the ribbon in a first fold so that the ribbon extends along a midline of the tape, then each edge of the tape is folded back in a second fold to form flaps that extend beyond the first fold, with the ribbon protruding from the folded tape.