Anna Magdalena is a given name, based on Anna and Magdalena.
Anna Magdalena Appel (1846–1917), German ballet dancer, morganatic wife to Louis III, Grand Duke of Hesse Anna Magdalena Bach (1701–1760), German singer, second wife of Johann Sebastian Bach Anna Magdalena Godiche (1721–1781), Danish publisher Anna Magdalena of Hanau-Lichtenberg (1600–1673), German countess Anna Magdalena Iljans (born 1969), Swedish skier Countess Palatine Anna Magdalena of Birkenfeld-Bischweiler (1640–1693), German countess
See also Anna Magdalena, 1998 Hong Kong film