How to give hand in the 1820s

"In giving the hand, the lady places her hand upon that of the gentleman, who receives it. These movements should be performed slowly, and corresponding to the music, observing always to turn the head and shoulders towards the same side to which the arm is carried; the head held properly
back, and the looks reciprocally directed towards each other.

In giving both hands, the head and shoulders are held directly to face the person opposite."

From the Elements of the Art of Dancing with a Description of the Principal Figures in the Quadrille by Alexander Strathy - Teacher of Dance 1822