Other possible children between 1901 census and introdiuction of maiden names in GRO indexes:
Births Jun 1901: HERSEY Albert William Ware 3a 589
Births Dec 1903: HERSEY Leslie Ernest Ware 3a 659
Births Mar 1905: Hersey Donald Arthur Edmonton 3a 464
Births Sep 1905: Hersey Florence Elsie Ware 3a 706
Births Dec 1907: HERSEY Edgar Frederick G Ware 3a 692
Births Sep 1910: HERSEY Kathleen A Ware 3a 728