Chenille Damask Fabric Renaissance Home Decor Upholstery (Earl Cox) Damask upholstery fabric and drapery fabric derive its name from the beautiful city of Damascus where, during the middle ages of the Byzantine Empire, this weave technique became especially desired. Home decorator discount fabric for upholstery, slipcovers, draperies. Italian made linen curtain or drapery fabric from Robert Allen Decorator Textiles.