I now have an interim progress report.
First a correction. I had thought that the dance had five figures. It actually has six.
Two nights ago was the Cairngorm monthly dance.
One of the elder members brought me a photocopy of a 16-page booklet that the Club had prepared several years ago. It contains a brief history of the (now 90 year old) club, as well as descriptions of 13 dances, including The Quadrilles.
Yesterday the IVP DVD arrived (Scotland's Social Dances). "The Quadrilles" on the DVD is clearly the same dance, although with an RSCDS style. For example, the last figure is almost entirely different from what we do in Toronto, with less contact. Similarly, in the fourth figure, the gent merely takes his partner's hand and walks her across to the other gent, rather than dancing with her there for a full 6 or 7 bars. And the basket swing lasts for a mere 2 bars, rather than 8.
The DVD set does not include explicit dance descriptions, or Music particulars (tempo, rhythm, length).
But all details can be observed clearly from the video recording.
I wonder whether at Ceilidh dances in Scotland "The Quadrilles" is danced in the style shown by the RSCDS dancers in the video.