I rang the GRO this morning and also Anc****y to clarify a name but got no joy. My problem is that a name on a BC for maiden name of mother, could be construed as two different ones. When i try to put in the information from the census's, ie where they came from, its still the same. Bizarre. Other peoples trees are no help, as some go with one, and some the other name.
I'll put down the facts and then see if anyone can choose which path, due to greater knowledge

John Smith b 7 Jan 1859 Ormskirk. Father George Smith.(Profession Baker). Mothers name and maiden name Eliza Radican/Keirnan.
1871 census Derby St, Ormskirk. George b County Down Ireland. Eliza b Kings County(Offaly) Ireland. I have all the census's.
1851 census there is a George Smith married to an Eliza Radican ( Mathew St, Hulme, Manchester) and a marriage which fits.( 17 July 1850, Hulme, Manchester, Vol 20 page 624) Now ive discovered a marriage of a George Smith to an Eliza Keirnon, Oct 1850, Cathedral, Manchester, vol 20 page 561. Because these are the 2 names it could be on the birth cert, i'm confused. Any pointers please. thanks Ian