The children on the right side are:
Princess Marie of Greece, Princesses Louise, Victoria and Maud of Wales, Princess Louise of Denmark, GDss Xenia of Russia, Prince Charles of Denmark (later King Haakon of Norway) and GD George of Russia.
In the caption of the French illustration, Princess Alexandra of Greece (standing next to Queen Olga) is misidentified as Princess Marie.
In the other version, I believe that George is inserted by Eddy's shoulder.