While the chair looks exactly, at first glance, like one of Philip Clissett's armchairs, further examination shows a few stylistic and constructional differences. The underarm turning follows a similar general pattern to Clissett's work on spindlebacks, but differs considerably in detail. The mortising of the front arm support into the arm is always blind on Clissett's chairs, but on this example is a through mortice, though pegged in the usual way.
This chair is now on the Relatives' Chairs page, so it can be seen in the context of other William Cole chairs.
If you have a chair stamped WC that might be by William Cole, please get in touch.