Definition of "cotillon"

The second figure [of the dance] commenced, and I made a sad bungle; so I did of the third, and fourth, and fifth, for I never had danced a cotillon.

1833, [Frederick Marryat], chapter XII, in Peter Simple. […], volume II, London: Saunders and Otley, […], published 1834, page 200

"Well," I answered, at first with uncertainty, then with inspiration, "he would do splendidly to lead your cotillon, if you think of having one." / "So you do not dance, Mr. Crocker?" / I was somewhat set back by her perspicuity.

1897 December (indicated as 1898), Winston Churchill, chapter IV, in The Celebrity: An Episode, New York, N.Y.: The Macmillan Company; London: Macmillan & Co., Ltd., page 51