Hello Owie
I found this O'ROURKE family in Toxteth Park on the 1871 census:-
John O'ROURKE (Head) Blacksmith 23 born Ireland
Elizabeth " (wife) 22 born Ireland
Isaac " (son) 4 born Liverpool, Lancs
Margaret " (daughter) 2 born Ireland
John " (son) 7 months born Liverpool, Lancs
Address looks like 88 Stanhope Street, Toxteth Park, parish of St. Matthew's.
Also in Toxteth Park -
Brian O'ROURKE (Boarder) 20 unmarried; clogmaker born in Dublin, Ireland
Address is 141 Wolfe Street, Toxteth Park, parish of St. Matthew's
Hope this is of some help
Dorothy