Her Wikipedia article is here. She lived in Colditz Castle, later made famous as an escape-proof prisoner-of-war camp during World War 2.
From Pinterest search; fixed the left, upper, and right edges and the upper twentieth of the image. Also posted to The Late Farthingale Era - 1590 to 1620 Album here.
Her left sleeves is decorated with a gold band and a pendant similar to the carcanet necklace with pendant on her bodice. She wears two bandeaux in her hair.
Keywords: 1618, Donauer, Barbara Sophie von Brandenburg, Herzogin von Württemberg, Hohenzollern family, Württemberg family, Princess, Duchess, German, high straight coiffure, bandeau, hair jewelry, earrings, necklace, tabbed fitted bodice, scoop neckline, lace neckline ruff, lace bertha, stomacher, carcanet necklace, pendant, necklace, long puffed tapered sleeves, lace back-flared cuffs, jeweled sleeve ornament, jeweled bodice ornament, girdle, basque waistline