[3] In 1663, a celebration was held at Copenhagen Castle honouring the fifteen-year-old princess's engagement to John George III, Elector of Saxony.

[5] Her husband also had an illegitimate son by his official mistress, a Venetian opera singer named Margarita Salicola, and may have had a daughter, Magdalena Sibylla of Neidschutz, with Ursula Margarethe of Haugwitz.

[6] Anna Sophie's father died on 9 February 1670 and was succeeded by her elder brother, Christian V, with whom she held a very active correspondence and discussed political matters.

The next year, Anna Sophie attempted to end the love affair between her elder son, then Elector Johann Georg IV, and his mistress, Magdalene Sibylle "Billa" of Neidschutz, with whom he had been living openly since his father's death.

Her late husband had tried to break up the couple, perhaps motivated by fears that a close blood relationship existed between the lovers—for Billa may have been his own daughter by Ursula Margarethe of Haugwitz, and therefore John George IV's half-sister.

Anna Sophie forced her son into marrying Eleonore Erdmuthe of Saxe-Eisenach, a German noblewoman, but the marriage proved a disastrous failure.

John George IV not only abandoned his bride, leaving her at the Hofe (the official residence of the Elector) to be with his mistress at another palace, but eventually tried to murder her so he could marry Billa.

[10] Anna Sophie brought up her grandson Friedrich August, born on 17 October 1696, the only child of her second son and his estranged, self-exiled wife, Christiane Eberhardine of Brandenburg-Bayreuth.