Since I frequently have to deal with an imbalance in numbers between the ladies and the gentlemen at nineteenth century balls, I'm always interested in dances that use a trio formation. This can be one gentleman with two ladies or vice-versa, though the former is the more common situation.
This dance, simply called "The Trio", appears in at least two editions of Elias Howe's American dancing master, and ball-room prompter (Boston, 1862 and 1866). Howe's instructions are a bit vague and neglect to mention the actual timing of the figures, but a little experimentation convinced me that the following reconstruction is workable and fun. This is an extremely easy dance, good for groups of beginners.