There is a photo a Charlie Parker playing a metal Runyon. The metal piece with the one screw inverted ligature.
http://www.ne.jp/asahi/jazz/jazz/mouthpieces.htm
The photos on that web page showing Bird's three seemingly different metal mouthpieces are all photos of the same mouthpiece, the brass made-in-England Selmer, with different ligatures. Nicolas Trefeil has a good discussion of this at
http://www.nicolastrefeil.com/cparkersetupandmpc.htm, including a mention of the original ligature's unreliable design. I have never seen a Runyon that looks like Bird's English Selmer, but maybe someone can post some documentation showing that his Selmer mouthpiece was actually manufactured by Runyon, since it's not clear who, in fact, made it.