Her Wikipedia article is here.
From the-athenaeum.org.
Elizabeth Alexandrine dresses stylishly with a plumed expanded turban-like hat, dual upper puffed sleeves, and a pleated bertha. The bertha is decorated with gold clips that complement the other gold trim of her dress and her jewelry.
Keywords: 1831, Winterhalter, Elisabeth Alexandrine of Württemberg, Elisabeth Alexandrine von Württemberg, Prinzessin Wilhelm von Baden, Prinzessin Elisabeth Alexandrine Konstanze von Württemberg, Prinzessin von Württemberg, Markgräfin von Baden, Württemberg family, Zähringen family, Princess, German, curly coiffure, feathered hat, earrings, necklace, fitted bodice, pleated bertha, jeweled bodice ornament, dual upper puffed sleeves, tight cuffs, bracelets. waist band, natural waistline, over-skirt