could this be your john in 1861

Catherine Callaghan abt 1823 Ireland Wife Manchester Lancashire
Catherine Callaghan abt 1860 Manchester Daughter Manchester Lancashire
Daniel Callaghan abt 1821 Ireland Head Manchester Lancashire
Daniel Callaghan abt 1855 Manchester Son Manchester Lancashire
Mary Callaghan abt 1853 Manchester Daughter Manchester Lancashire
John Horgan abt 1842 Ireland Nephew Manchester Lancashire
also do u have the full 1871 extract because the one i found names a few more children than you wrote down ??
Cash Horgan abt 1871 Pembrokeshire, Wales Daughter St Michael Pembrokeshire
James Horgan abt 1865 Pembrokeshire, Wales Son St Michael Pembrokeshire
Jno Horgan abt 1841 Ireland Head St Michael Pembrokeshire
John Horgan abt 1863 Pembrokeshire, Wales Son St Michael Pembrokeshire
Mary Horgan abt 1837 Pembrokeshire, Wales Wife St Michael Pembrokeshire
Patrick Horgan abt 1867 Pembrokeshire, Wales Son St Michael Pembrokeshire
William Horgan abt 1869 Pembrokeshire, Wales Son St Michael Pembrokeshire
regards
alli