The Ladies' Book of Etiquette, and Manual of Politeness

Your first duty, upon entering the room, is to speak to your hostess. After a few words of greeting, turn to the other guests. At a private ball, no lady will refuse an introduction to a gentleman. It is an insult to her hostess, implying that her guests are not gentlemen. It is optional with the lady whether to continue or drop the acquaintance after the ball is over, but for that evening, however disagreeable, etiquette requires her to accept him for one dance, if she is disengaged, and her hostess requests it. At a public ball, it is safest to decline all introductions made by the master of ceremonies, though, as before, such acquaintances are not binding after the evening is over. Be very careful how you refuse to dance with a gentleman. A prior engagement will, of course, excuse you, but if you plead fatigue, or really feel it, do not dance the set with another gentleman; it is most insulting, though sometimes done. On the other hand, be careful that you do not engage yourself twice for the same quadrille. In a polka or valse, you may do this, saying, "I will dance the second half with you, but have a prior engagement for the first." Then, after a few rounds with your first partner, say to him that you are engaged for the remainder of the dance, resume your seat, and your second partner will seek you. Let your manner in a ball room be quiet. It looks very badly to see a lady endeavoring to attract attention by her boisterous manner, loud talking, or over-active dancing. Do not drag through dances as if you found them wearisome; it is an insult to your partner, but while you are cheerful and animated, be lady-like and dignified in your deportment.