Paternity Question

[Kit]

Hannah Greenshaw marries Francis Bilton in December 1855 in Sigglesthorne, Yorkshire.

On the 1861 census they have 4 children, the eldest one being Emma aged 6.

Looking at FMP I can not find a baptism for Emma although I can find other children to the couple.

I look under Greenshaw and find Emma Greenshaw, mother Hannah Greenshaw spinster, however the baptism occurred in 1856, after Hannah was married. The only birth I can find on FreeBDM is Emma Greenshaw 1864.

As Francis is not mentioned and they use Hannah's maiden name does this mean Francis is not the father or could the minister be a stickler for the rules and as Emma was born before the wedding insisted it be done in the maiden name?