According to her Wikipedia article, Elsie de Wolfe could be called the mother of interior design. She was also an actress. Her first commission, The Colony Club, came around 1905, not long before this photo was taken. Otto Sarony was an American celebrity photographer who took over the family business from his father Napoleon Sarony.
From littleaugury.blogspot.ca/search/label/Elsie%20de%20Wolfe; enlarged one fifth.
This could be called a lingerie dress with the lace-covered bodice and showy silhouette.
Keywords: Sarony - Otto, Lucy Duff Gordon as designer, Lucy Duff Gordon, Lucile, Lucy Sutherland, Lady Duff Gordon, Elsie de Wolfe, wavy coiffure, bun, pouter pigeon bodice, lace long close sleeves, waist band, bows, down turned waistline, lace over-bodice, high enclosing neckline, necklace, epaulettes, close skirt