@brogueish - it isn’t for me to judge because I don’t know where they are and I don’t know how the baby is being cared for.
In some cases it is undoubtedly right for a baby to be taken from a mother. In general I would say that a proven record of violence (in some cases) sex offences, child abuse, certainly.
Then there are cases where the mother may be addicted to drugs and just unable to stop taking them, which are just heartbreaking as I think a lot of the time the desire is there but so often people just can’t help themselves when they are on them 
Cases where a baby is unsafe because of lack of access to suitable housing I would say is absolutely not grounds for removal and I realise that isn’t what has happened here. That’s why it’s hard because it’s a bit circular.
I wouldn’t do the king Solomon thing myself so I can perhaps empathise with the fact this woman can’t bring herself to. I couldn’t just say to myself well … I’m sure his new parents will love him.