Welcome to the Quilting Board!
I wonder if this is the bag you might want? I have used many times and lots of people as well! I prefer to use like a light weight canvas or lighter upholstery fabric like for lawn furniture. It just has more body than cotton. (I used box my corners too)
rgadesignquilts.com There is a also a youtube video by this person doing the runner and bag
When I have more time I really need to check this out. I am always making totes for someone.
10 minute table runner and 12 minute gift wrap bag.
[PDF] Ten Minute Table Runner Twelve Minute Gift Wrap Bag
Thanks to everyone who contributed websites. I know what I am making for Christmas gifts now!