i dont know if you have the 1911 census for herbert, so just in case
living 173 dartmouth street, aston
henry bates 60 hotel manager b. derby
elizabeth ann bates 59 assistant b.bham
henry bates 32 single barman b.bham
herbert frederick bates 28 single barber b.bham
nellie bates 21 single machinist b.bham
annie adelaide bates 18 single machinist b.bham
george bates 16 b.bham
fred bates 15 barber b.bham
married 39 yrs. had had 16 children but 5 had died
in 1920 herbert frederick and ellen elizabeth bates were living 84 summer lane
they were listed there through to 1939 (in 1939 gertrude bates was also listed)
in 1945 herbert frederick bates is listed alone at 28 bradfield rd. perry barr