This is from the Bain collection of the USA Library of Congress, I cropped the notations and fixed a blemish on the right using Photoshop.
The Connaughts are dressed with somewhere to go in this photo with the Duchess wearing a something like today's shirt (blouse) and tie under a cape.
Keywords: 1902, Duchess Louise of Connaught, Princess, Duchess, Hohenzollern family, Welf family, British, hat, blouse, high enclosing neckline, long sleeves, cuffs, lace, blouson bodice, cravat, cape, close skirt, necklace, earrings