So I've finished sewing together 5 pieces that make up the back. I've got the buttons. So it's time to begin reconstruction.
First I stapled on the burlap, then the foam, then I placed the cotton batting in place across the back. This took me about an hour, because the staple gun really doesn't have enough power. I keep finding that the staples pull out, so I have to redo them, or hammer them in.
But the next time I will be ready to begin TUFTING.