From what you've told us it seems that the birth was notified to the registrar in a different district from the one where the birth took place - that would explain the declaration.
That sounds likely, but what were the dates of the birth and registration in Guildford? The birth should be before 6th November and the (second) registration afterwards. And if there was a registration in London, later rejected, would any trace survive of that cancelled registration?
In Scotland, there was an official procedure for recording a birth a second time, but this was used the other way round, and both registrations remained valid. I've got an example where in the column headed "when and where registered and signature of the registrar", it says "1895/June 10th/at Aberdeen/(signed) James Weston Registrar", and underneath it has "June 17th transcribed at Oyne/Alex. Riddel Registrar". The entry also records her "Domicil" as Oyne, and there is a marginal note of the district of birth as Aberdeen district of Old Machar parish. All very thorough!
The idea was that if a mother went back to her usual place of residence straight after the birth, and had no further connection with that place of birth, it was almost accidental and not much help in finding the record later. An unmarried mother sent away from home to give birth is the obvious example of that, though no doubt there were others. In my example Euphemia Moir was in service in Aberdeen, and the birth clearly marked as "illegitimate".
As far as I know, in England the birth had to be registered where it took place and nowhere else. But the Scottish practice does suggest there would have been quite a lot of cases where people (mothers and others) wanted to do this. So I wonder what could happen when they tried to? Was what happened in Guildford an official way of correcting an error, or improvisation?