For your consideration, here is a The Presbyterian Hospital in the City of New York Cloth Woven Patch.  It has very little wear on it.  It has not been sew on.  It has a diameter of 2 7/8 inches.  It will be mailed in a bubble mailer with foam core stiffeners.  Item pictured is the actual item up for sale and comes from a non-smoking household.  (419.785r-.4bb)