We have to bear in mind that the child is a future monarch, which, I think, rules out Philip - rather a pity, but the only other Philip to be King of England was Philip II of Spain through his marriage to Mary Tudor. Not a happy precedent.Ann
I tend to agree with you Ann, they will most certainly name the child keeping in mind that he/she will eventually be monarch. So if a girl, I suspect they wouldn't choose Victoria as first name (there will already be a reigning Queen Victoria - of Sweden - in the next generation). Not that it would be a deal-breaker, but still. The royals do like continuity, so a future Elizabeth III would be a possibility. On the other hand - would the whole Scottish numbering controversy stop that? (the Scots weren't happy with EII since there was never a EI in Scotland). The future potential of an independent Scotland might be enough to head off Elizabeth as a choice.
For a boy, no doubt they would first consider what regnal name Charles - and William - intend to use as monarch. Many assume Charles will choose George VII, and William will be William V), but we don't know for certain. So far in Britain there have been 11 Kings named Edward, 8 named Henry, 6 named George, 4 Williams, 3 Richards, 2 Charles, 2 Edmund, 2 Harolds, 2 James, and 1 each Alfred, John, Edgar, Steven and a bunch of other names that would no longer be suitable in modern times.