I would take one of the old screws to your hardware store, ask them for the same length of screw, however get one size wider. With a drill bit, you may have to increase the inside diameter of the holes in the wooden piece (in your hand) so as to permit the screw to FREELY slide in-and-out of it's homes. DO NOT increase the size of the holes in the bed frame's fascia board!!! I would strongly suggest you also use wood glue. Doing it the way I explained...it won't come too easily again.