That’s best case scenario.
I’d put money on them not being enrolled into a school until after summer….
If they have left the area and informed the old school, they will have be removed from that school roll. You can apply for a school place directly with the new school if it’s an academy and its own admission authority. Or you can apply via the council if admissions controlled by them
A child is generally only entitled to a school place if they and their parents are ordinarily resident in the area. Hence why proof of residence (that can include confirmation of exchange) can be required when applying.
If you remain on a school roll, you have a school place; albeit in a different council area so the duty to provide a place does not kick in. Plus it would mean that anyone waiting for a place at the old school would have to sit on the waiting list until the Hobsons got a place at their new school.
They will have applied for a in year transfer, provided proof of their imminent purchase (if necessary) and been put in whatever school the council has spaces in/whatever they can get from applying directly. If there are no spaces, the council will look to bordering councils to assist if they have places. I doubt Hornsea and the surrounding towns etc are all over-subscribed so they will have places in fairly local schools. If they don’t like that school, they can go on the waiting lists for others but the council has discharged their legal duty to provide a school place.
Beaver and Beggy don’t want the boys at home cluttering up the place so they will be sent to school as it’s free childcare plus Granny Beaver/neighbours may well start asking awkward questions if they are at home for 3 months
The house looks as though it has been left nice and clean for them and someone bothered to mow the grass and keep up the garden upkeep until the last minute. I hope that pair of clats feel throughly embarrassed at the state they left the shack in. Didn’t even bother vacuuming before they went.