Sorry - for most places in England the earliest census is 1841 and at the moment I can't find William born 1823 on it
I had a look at the IGI (family search) - William Granthan born 1794 Tysoe and his wife Sarah (no marriage found but Tysoe is not covered for this period by the IGI) had the following children in Pillerton Priors
Hannah 1817
Thomas 1820
William 1823
Mary Ann 1826 (from census - no baptism found)
Jeremiah 1827 (from census - no baptism found)
Joseph 1831 (died 1831)
Elizabeth 1831 (died 1832)
John 1833
George 1837
You already have William & Sarah (the elder ) in the 1841 and 1851 census - here is what happened after
In 1861 William & Sarah are living in Pillerton Priors - non of their children are with them
By 1871 Sarah has died and the widowed William is living with his son Thomas's family in Pillerton
from 1871 - Pillerton
Thomas Grantham 50 ag lab born pillerton
Elizabeth Grantham 46 born Eatington
Thomas H Grantham 10
Mary A Grantham 8
Ada Grantham 2
William Grantham 77 father born Tysoe
The elder William is still alive in 1881 and is now living with his son William who is also widowed and some of his family in Ettington
from 1881 Eatington
William Grantham 57 wid Farm Lab born Pillerton
Elizabeth Grantham 19 unmarried born Eatington
Sarah Ann Hoare 29 daughter married born Eatington
Florence M. Hoare 8 grandaughter born Eatington
Ada Lydia Hoare 3 grandaughter born Eatington
Charles H. Grantham grandson 8 months born Eatington
William Grantham 87 father wid born Tysoe

Debbie