I found in the 1871 England, Wales & Scotland Census (in Latimer Street, Liverpool) the following:
Alexander Corry Head Married 33 Mariner Scotland Edinburgh
Elizabeth Corry Wife Married 30 --- Ireland, co. Moneghan
Joseph Corry Son Unmarried 9 Scholar Ireland, co. Moneghan
James Corry Son --- 4 Scholar Ireland, co. Moneghan
The year of birth is correct 1863/1864. The place of origin is correct i.e. Ireland. The mother's name is reflected in the name of Joseph Johannes Corrie's daughter. The father's name however is not reflected in any of Joseph's descendants or their descendants.
Joseph Johannes Corrie married Clarissa Gertruida Viljoen in 1886 i.e. if the family left Liverpool in 1871 it would leave 13-15 years for Joseph Johannes Corrie to make his way to the Free State.