The chair seems identical to the previously known one in all respects. While, at first sight, it appears identical to Philip Clissett's work, it differs in the form of the top part of the arm supports, and in the positions of the cross dowels in the lower part of the back - minor differences that show how closely these two chairmakers work is related. Of course, there is also the WC stamp to the top of the back legs, contrasting with Clissett's PC stamp.
WC-stamped chairs by William Cole are very rare, so I'd be pleased to hear about any of his chairs. Contact me here.