Princess Louise appears to be helping her brother Leopold study in this photo.
This image comes from Queen Victoria: Images of Her World here.
Prince Leopold was born in 1852 and he looks to be about ten or eleven in this photo, maybe older. Princess Louise is dressed in a late crinoline era dress with narrow sleeves, dating this to 1863 or 1864.
Keywords: Princess Louise, Princess, Hanover family, Sutherland family, British, straight coiffure, headdress, high neckline, collar, jacket bodice, bows, long close sleeves, cuffs, Swiss belt, shallow vee waistline, crinoline