1871 census look up for William Ward

[Larry]

Trying to put together William Ward family and need to find him in the 1871 census. In the 1861 census he is listed as living with his parents, Owen Ward, father, at 31 Catherine Street, Toxteth Park. He was Unmarried and working as a laborer and born in Ireland in about 1843. In the 1881 census, he is listed as Married, but as a boarder and working as a Chemical worker in Beswick, Lancashire. I need to find him and his wife or his family in the 1871 census so that I may know who he married.
Appreciate any help,
Larry

[Tati]

I can see Owen with family at 7 Upper Essew St in Toxteth Park but no William...

Here is Owen:

Owen Ward, head, 46, Tailor b. Ireland  Down
Bridget,wife, 45, b. do.
Mary, dau, 14, scholar
Sarah A, dau, 12, scholar
Margaret, dau, 8, scholar
Elizabeth, dau, 3, scholar

all children born Liverpool

RG10/3800 Fol 40 p. 6

Tanja