The couple had two children, a son George Christoph and a daughter Barbara, but both died shortly after the birth.
Duke George II died on 7 May 1586 and his two sons inherited only Oława-Wołów as co-rulers, because he left Brzeg to his widow Barbara as her dower.
In her husband's will, Anna received the Duchy of Oława as her dower, with full sovereignty until her own death.
According to the terms of the dower grant, the beneficiary lost her lands if she remarried or became a nun (resignation was not considered).
In consequence, Anna was stripped of the government over Oława, which was retaken by Joachim Frederick, the brother of her first husband.