There is this marriage in Manchester - register office or registrar attended
June quarter 1857 Manchester vol 8d pg 656
James Horan and Ellen Howard
There is then a birth in Manchester
George Horne with mother Howard
September quarter 1858 Manchester 8d pg 92
I can’t link any of these to 1861 censuses and there are several similar names.
There is also a George Horahan b 1859 with mother Howe.
Also this George at 1861 2964 /131/55
George Horan 2 yrs with parents Thomas and Mary.
I can’t see a marriage in Manchester to check Mary’s surname.
https://www.lancashirebmd.org.uk/index.php