On the "concealment of birth" charge:
1. This is not the same as a charge of non-notification. (I'm not even sure a mother can be guilty of non-notification. Certainly in
the Notification of Births Act 1907 the duty to notify falls on the father if he's living in the house where the birth takes place and on "any person in attendance upon" the mother. But anyway. Perhaps that statute has been amended. It doesn't matter, because failure to notify isn't what they've been charged with.)
2. They have been charged with concealment of birth. This is an offence under
s60 of the Offences against the Person Act 1861. The offence can only be committed after a child has died. It is to do with disposing of a dead body. Here is the statute that codifies the offence:
"
If any woman shall be delivered of a child, every person who shall, by any secret disposition of the dead body of the said child, whether such child died before, at, or after its birth, endeavour to conceal the birth thereof, shall be guilty of a misdemeanor, and being convicted thereof shall be liable, at the discretion of the court, to be imprisoned for any term not exceeding two years."
3. Since practically the whole country has known since the police issued their appeal on 18 January that a baby was born to Constance Marten and Mark Gordon earlier that month, how can anything they did or didn't do later amount to an endeavour to conceal the birth?