Beatrice not knowing about the birth makes no sense
How does a coma patient give birth anyway? You can't tell her to 'push', so do they have equipment to do the pushing FOR her, or does the baby just get born 'automatically' somehow?
Now, I am not an expert on coma patients, but from numerous stories of 'awakened' coma patients, we can conclude that coma patients pretty much ALWAYS know and even remember what's going on around them, even if we think they do not. They KNOW, they are aware, they remember!
This means there's NO WAY Beatrice could've given birth without knowing or at least hazily remembering doing so. Coma doesn't mean your awareness goes away, it's not a 'sleep mode', you are awake and aware. She would know and remember the kid.
Another problem is that if they can't somehow force a 'natural birth' (as oxymoronic as that sounds), they they'd have to do a 'C-section', which would leave a SCAR.
Why would Beatrice not notice a C-section SCAR on her body?
No matter how you look at this, the whole thing makes NO SENSE, it's just a typical 'coma fantasy', where coma is not understood at all.