I think your year of birth for William is probably wrong and should be 1889 and not 1888.

Note, parents have 6 weeks in which to register a birth, which is why the birth of someone who was born late February, may not be registered until the April/May/June quarter of that year.

Civil registration event: Birth
Name:WEST, William
Registration district: Foleshill
County:Warwickshire
Year of registration:1889
Quarter of registration:Apr-May-Jun
Mother's maiden name:Not available before 1911
Volume no: 6D
Page no: 490

Civil registration event: Death
Name:WEST, William
Registration district: Waltham Forest
County:Essex
Year of registration:1975
Quarter of registration:Apr-May-Jun
Date of Birth: 26th February 1889
Volume no: 15
Page no: 1079