I did a UK wide search there is a Emily Fido born in St Pancreas - but thats the Dec quarter - so would have been well after her baptism
In the year before her baptism there are 7 Fido babies born in the UK
Alfred (born Langford), Thomas (born Ross), Eliza (born St George Southwark), Thomas (Chippenham), Charlotte (Chippenham), Mary Ann (Chippenham), and Henry (Bath)
If I disregard the other boys, Emily has sisters called Eliza and Mary Ann - both of whom were living in 1852 so I can't see it being either of them
Charlotte is the daughter of Henry and Alice
As far as I can see there are no Henrys in the family at all - but the more I'm saying Henry and Emily in my head the names keep starting to rhyme