Hi Ewan,
Searching on familysearch.org there are many entries for William Cox and William Henry Cox in Birmingham, Warwickshire
One entry is for the full name - location Birmingham, King Edward Road, b1874
Mispelling of surnames on census etc are common. A name I was searching for - Ilott was misread as Scott, Mott, & Slott, hope this website may help.
A slight correction there as the 1868 Burgess Rolls are online at
https://www.midlandshistoricaldata.org
Maurice![]()