Her Wikipedia article is here.
From www.liveauctioneers.com/item/8151163.
This is a good example of dress ca. 1830 with wide puffed sleeves under wide shoulders created by a wide pelerine center panel and epaulettes. (But wait, there's more!) She also wears a massive Apollo knot coiffure.
Keywords: Werner - Wilhelm, Auguste of Prussia, Hohenzollern family, Hesse family, Princess, German, hurluberlu coiffure, Apollo knot, off shoulder straight neckline, modesty piece, pelerine, bertha, lace, quarter length puffed sleeves, vee waistline, full skirt, floral bodice ornament, robes