It depends what surname Charles had his birth registered in whether his birth registration is missing or not.
1861 census RG9 2109 folio 39
Claines Worcestershire
William Smith 47 Much Marcle, Herefordshire, Head Married Market Gardener
Harriett Smith 26 Hallow, Worcestershire, Wife Married
Charles Smith 8 St Mary, Shropshire, Son
Harry Smith 4 Claines, Worcestershire, Son
Wm Ambrose Smith 1 Claines, Worcestershire, Son
Wm Smith 25 Hallow, Worcestershire, Lodger Unmarried Ag lab
WILLIAM SMITH
HARRIETT HOOPER
Marriage: 25 AUG 1858 Claines, Worcester
HARRY SMITH HOOPER
Christening: 19 APR 1857 Claines, Worcester
Mother: HARRIET HOOPER
June 1857 Droitwich
Harry Smith Hooper
6c 339
which would mean if the Lucy Smith death registration in Worcester was correct it occurred after the birth of Harry.
Regards
Valda