I have a polyester quilt my grandmother made for me back in the late 70s/early 80s. She used a muslin backing. It's kind of puffy so I think she used a poly batting. And she tied rather than quilted it. Oh, and it's a polyester double knit applique! The squares behind the polyester appliques are cotton, the sashing and borders are double knit. Everything about it would send the quilt police into riot mode. But she made it just for me and I love it. Used it for years and it was really warm.