They are not burlesque dancers.
Are they British?

Originally yes, though not always native.

Is it the all the parrots that have been used in the famous Monty Python sketch?

Well yes it is! Though I'd worry about having a mind like that. Here is a baton which was used as a perch in the first version of the sketch, ignore the thing nailed to it. Now pick the next subject and infuse some life into this.

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I knew it. Sort of. So the next one is VEGETABLE. Have at it.