"Have you told them how to get into the system".
To get into the system you need to live in the area for long enough to qualify - not an option if you're being moved from immigration centre to B&B to hostel to short-term council let to another short-term council let...
To get into the system you need to speak the language, to be able to understand the information that is available if you know where to find it.
To get into the system you need to be able to understand how things work: that the Council will tell you how to apply but actually you need to talk to local parents, chat up the vicar, get onto the parish electoral roll, make sure you don't just attend church but have your child attend Sunday school and get their name ticked off etc.
To get into the system you need to be able to prove that your child was baptised (which may not be easy if it was long ago in another place) or know that you need to get them baptised asap.
To get into the system you need to become part of the church community, which will be full of people not like you, with lives very different from your own, who don't speak your language, who may be very well-meaning but feel slightly embarrassed at your presence and don't really know how to talk to you.
To get into the system you need to do voluntary work for the church, which may be tough if you are working three cash-in-hand jobs just to survive, while looking after your three children and your elderly mother...
To get into the system you need a letter of reference from the vicar, who may be a little too concerned about maintaining Outstanding Ofsted reports and excellent SATS results, which may be a result of excellent faith schooling but may also have just something to do with the intake...
To get into the system may be just a little bit easier if you are not traumatised, depressed, overwhelmed with trying to get by and keep your children safe in a strange new country whose ways you don't understand.
I am not saying the situation is like this everywhere, and I'm not saying all faith schools turn a blind eye to this. But those of you who think your local situation is ok should be aware that this is what it is like, in many many areas.