I did lay it flat and I saturated it with water and starch and then let it dry. I then stay stitched it again using a running stitch and then eased it around the circle. I pressed and pressed. Today with all of the help and encouragement from all you lovely ladies I took a deep breath and sewed the binding on and it seems to have worked. I may have to rewet it and let it dry again since I think there might have been a little stretching again. I have decided it must be the fabric that stretches when you look at it.