Illustration of quadrille steps from Carlo Blasis's Code of Terpsichore (1830):

"Danse Bolèro", from Delineations of the Most Remarkable Costumes of the Different Provinces of Spain (ca. 1820?):

English print of ca. 1820 showing dancers executing the "three forward and back" section of the pastourelle figure of a quadrille:

(Dresses resembling those shown here -- very full-skirted but still very high-waisted -- were apparently worn by some elite followers of all the latest changing high fashions during a fairly brief period ca. 1819-1820, but never really became the default style of the general body of "genteel" women, at least in this extreme form. Ironically, these gowns have some resemblance to the hoop-skirted "court dress" -- worn at formal royal occasions -- which was abolished at nearly the same time, in 1820, on the grounds of being universally considered an archaic and hideous relic.)

"La Walse", caricature from Le Bon Genre, Paris, 1801 (probably the original caricature; at this time the Waltz was unknown in England, and in Germany and France still had not entirely shed its connotations of being a German peasant dance):

On the left: a raffish couple
On the right: German "egghead", and a lady with her feet none too firmly planted

(At this time the Waltz was very new in England, and considered rather scandalous, because of the way the gentleman's arm encircles the lady's waist as part of the dance.)
Notice how the right couple has been altered by Gillray