Alternative baptism for William? 
10 June 1827, Penshaw
Parents George and Maria Hoggett
Abode Copperas House
Father Husbandman
From FreeReg
Peshaw is near Fatfield, which is William's residence on the marriage to Elizabeth Dawson. Says all three born Fatfield in 1851.
William born Washington in 1861
Goodness knows what it says in 1871.
After son George Dawson came daughter Maria
HOGGART, MARIA
Mother's Maiden Surname: DAWSON
GRO Reference: 1853 M Quarter in CHESTER LE STREET Volume 10A Page 270
I think this is the William who married Elizabeth Dawson.
William (aged 14) is on the 1841 census H0107/299/13/12/19
George Hoggart 30
Maria 30
William 14
Hannah 12
George 5
Margaret 5
Mary 2
Children all born in the county but George and Maria not born in county