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Don't know about mummers - in that case there's someone "blacking up" to be a Turk which is dodgy. But for Molly/Morris sides, I can't see the issue. Since the facepaint is clearly just a part of a larger costume intended to make the person look bizarre (see pictures above, or this one of face-painted Molly dancers) then I can't really see the problem.

A quick request - Azizi, as a voice of sanity in here, how do these pictures look to you?

Graham.