A non-plastic, fabric container attachable to a leash with a closure flap and having an opening for dispensing bags and method of making. This design offers consumers a more durable and functional dispenser constructed from a single strip of fabric. A single closure device (button, snap, rivet, turn lock, hook and loop or other simple device) simultaneously encloses the roll of waste bags and attaches the device securely to a leash, harness or belt, etc. With only a single piece of hardware and two side seams, this durable and sanitary design marks a significant departure from previous pet waste bag dispensers. Furthermore, this unique structure creates a virtually universal product that loops around almost anything and accepts almost any brand of waste rolls.