married (possibly - from the naming pattern of his son Thomas' children) Hannah
Anything I say about William (and ?Hannah) is still pure speculation. I have not yet found a baptism record for Thomas, and am just guessing that Joseph Waterfield who is lodging with Thomas in 1871 is in fact his brother.
The children of William Waterfield and ?Hannah
Joseph Waterfield
born 1816 at Nottingham
died after 1871
1871 census - no occupation, lodging in Sankey Bridges with Thomas and Martha Waterfield
Thomas Waterfield 1826-1876
born abt 1826 at Nottingham or Loughborough
died 1876 at Warrington
married July 1853 to Martha Read at Warrington St Elphins