... Hoodie.. doesnt' sound chintz to be... it very well could be a stenciled burlap. Don't draw too many assumptions till you have seen it and tested it. But if it is burlap, if you have a solvent upholstery cleaning tool for the oily smoke damage that maybe be best as, wet cleaning burlap ie Jute in most cases, is typically going to prone to dry rot, browning, possibly some shrinkage, and my guess won't hold that paint very well.
Another possibility it could be is a flat woven rug material made of course wool used to upholstery furniture. Its somewhat common and if its wool, it can be pretty durable.. all beit maybe not very comfy. Takes the some pictures if your stumped and just be sure to test!