Hi Lee - Now for William's side of the family.  Here is William Edward age 12 with his parents William and Mary Ann, and 3 siblings:
  
 
1881
  
 Living at 38 Birmingham Road, Old Stratford, Stratford-on-Avon, Warwickshire
  
 William Cook  Head  57  Stone Mason  born Grafton, Warwick c1824
Mary Ann Cook  Wife  32  born Welford, Gloucester c1849
William E. Cook  12  b Stratford c1869
Walter Cook  9  b Stratford c1872
Albert Cook  4  b Stratford c1877
Rose Cook  9 months  b Stratford 1880
George Holtom   Lodger  24  Plumber  b Stratford
  
  
 10 years earlier the family were at the same address.  You will notice a few differences.
  
 1871
  
 William Cook  47  born Exall, Warwickshire
Mary Ann Cook   27  Occupation:  Glover  born c1844
Priscilla A. Cook  Daughter  4  born Silby, Leicestershire c1867
William E. Cook  Son   1 
Richard Treganown   Lodger  40  Stone Mason   b Truro, Cornwall
  
  
 
Here are some records from the LDS site.  
   
 William Cook Senior's marriage.  Now you have Mary Ann's maiden name of Harris.
  
 WILLIAM COOK 
--------------------------------------------------------------------------------
Marriages: 
  Spouse:  MARY ANN HARRIS  Family 
  Marriage:  18 OCT 1864   Temple Grafton, Warwick, England 
  
  
 Younger William's birth and death:
  
 WILLIAM EDWARD COOK 
 Birth:  09 MAY 1870   Old Stratford, Warwick, England 
  Death:  25 JAN 1953  
  
  
 Some of the children of William and Mary Ann:
  
 Parents: 
  Father:  WILLIAM COOK  
   Mother:  MARY ANN HARRIS  
 
 WALTER THOMAS COOK - International Genealogical Index 
Gender: Male Christening: 24 SEP 1871 Holy Trinity, Stratford On Avon, Warwick, England 
 
 PRISCILLA AGNES COOK - International Genealogical Index 
Gender: Female Christening: 25 DEC 1867 Holy Trinity, Stratford On Avon, Warwick, England 
  
  ALBERT COOK - International Genealogical Index 
Gender: Male Christening: 20 MAY 1877 Holy Trinity, Stratford On Avon, Warwick, England 
 
WILLIAM EDWARD COOK - International Genealogical Index 
Gender: Male Birth: 09 MAY 1869 Old Stratford, Warwick, England 
  
  
 Marian
 Manager