If you prefer the "birthing" method, I would do this:
layer the quilt in this order:
backing (face up)
batting
prairie points (joined) and facing into the center of the quilt
quilt top (face down)
Pin like crazy all around and sew like you normally do, making sure that the points don't slip out of the seam.
Leave an opening to turn. Then stitch that opening closed. Top stitch all around the edges below the prairie points to keep them laying flat.
Try a small square first to get the hang of the method. Maybe this could be a matching pillow for the quilt.
This is the same method you would use for making a pillow cover with a ruffle (minus the batting).