Dingle,
It sounds like you have the word border confused with binding. Binding is the strip of cloth you sew on the front of the quilt after you finish quilting it and wrap it to the back then hand whipstitch or machine in the ditch stitch to hold it down. Any quilt can have several borders. Those are put on surrounding the middle where the pattern is. They act like a frame or matting on a picture. The "binding" covers and seals the raw edges of the finished front, batting and binding.
I hope this doesn't confuse you more.