Hi, found William on 1881 Census as follows:-
Sarah Goadby born abt 1837 Newtown Linford Widow Head
Sarah Jane Goadby born abt 1864 Newtown Linford daughter
William Goadby born about 1867 Newtown Linford son
Elizabeth Goadby born abt 1872 Newtown Linford daughter
Alfred Goadby born abt 1874 Newtown Linford son
Polly Goadby born abt 1877 Newtown Linford daughter
William married Sarah Ann Brecknell on 8th November, 1887 in Newtown Linford.
I think they are living in Newtown Linford on the 1891 Census and have two daughters - Ada and Jane Dinah. I cannot find them on the 1901 Census but I know they are still alive as I have a photograph of them in the 1930's.
Regards
Wendy