debmary, i have found your Williams birth in Dec quarter 1863 Stourbridge which is the area for Halesowen
His mother Hannah, married William Harvey Gem on 24th November 1868 in Rowington.
Now please bear with me because as often been said on here the enumerators had often imbibed a consdiderable amount of alcohol on their way round the area, LOL
1871 Rowington
Willim gem age 40 miller
Hannah age 33
Ellen 14
john 8
George 2
Arthur 5 months all born Rowington
William Brain b Halesowen ,son in law, (that meant son by law/stepson (age 21 married. WHAT, LOL) he is actually age 7
1881 Grosvenoe road Aston
William Gem 51
Hannah 41
William Brain 17
john Gem 17
George Gem 11
Arthur Gem 10
Albert Gem 9
Ellen Gem 7
Walter Gem 4 says all born birmingham (not correct)
Next door to your William in Rocky Lane in 1891
William Gem
Hannah gem
George
Arthur
Ellen
Walter.
the census states Willian, Hannah, George and Arthur born Rowington the rest in birmingham.