hi Dye, that's interesting, good luck with them.
Where have you placed the ferret hutch? It sounds very suitable, but if it's out of doors you must make sure it's dry and waterproof, well insulated, and that they're totally protected from wind and rain blowing in. As I said in your last post, they're very sensitive to cold and damp conditions, and as you live in N. Yorkshire, your winters are probably going to be quite long and cold.
I would advise using Aubiose rather than straw, as straw is very difficult to keep clean but Aubiose is much more absorbent and comes in little bits, not long strands like straw. Also they can burrow down in it better. Has the ferret cage got two levels? Quails don't roost like chickens, so they may not actually use the top floor, if it has one. Give them some small disposable cardboard boxes with the front cut away, so they can hide and shelter in there if they want. I used those plastic dome-shaped shelters you can get for guinea pigs, and they were good. This sort of thing;
http://www.petsathome.com/shop/en/pets/small-pet/ferret/ferret-toys/guinea-pig-igloo
They also need a large deep bowl and some dry sand as a dustbath, they will love this. A handful of greens every day as well as their quail pellets - any mixed salad leaves, or lettuce. Get some chick grit and provide this in a small pot hung on the wire. Chicken grit is too big for them but grit for chicks or cage birds will be OK. They poo everywhere, as you'll have found out, so you need a special drinker which has a water reservoir outside the wire of the cage and a small lip inside for them to drink from. Position it about chest height for them and the water will stay clean. I used to put a brick under it as a little platform, then they hopped up on the brick and it kept the water cleaner because it was higher off the bedding. Drinkers are like this;
https://www.ebay.co.uk/itm/CAGE-BIRD-DRINKER-SMALL-BLUE-ANTI-ALGAE-DEEP-FONT-FINCH-CANARY/332436401160?epid=1605409865&hash=item4d66c0ec08:m:m6IRQYEl3ogsuG5EZ9nQUSw
At 7 weeks old they would have probably be at point of lay if you'd bought them in Spring or when the days were longer up until about the end of August, but unless you can fix up a little LED light in their cage on a timer to give them at least 14 hours light a day, they may not lay until the days lengthen in the Spring. (I did warn you about this when you posted before!) In any case, even if they had already been in lay, they would stop when the daylight became insufficient, unless given extra light.
Presumably you know the cock bird is a male, because he's crowing and mating the hens? I wouldn't be totally surprised if one of the hens turns out to be a cock in the long run - when I bred them, I found that sometimes a cock bird would behave like a hen until, one day, his hormones kicked in overnight and by morning he was very obviously male and enjoying the female company! You'll need to watch out carefully for injuries caused by their rough mating - I found the cock bird would grip the hen's head in his beak, and when she threw him off, he wouldn't let go, he would tear out hunks of feathers and flesh and could make some really nasty injuries. Make sure you have some of that Septiclens I recommended for your poultry first aid kit, and also get a spare small secondhand hamster cage that you can set up as a hospital in case one is injured in this way. i got mine for £2.50 at the recycling centre! It may not happen until the New Year if you aren't able to give them extra light, as the male hormones won't kick in over the winter without it. If you have an injured hen, put her in the small hospital cage and put the cage inside the ferret hutch, so the others can still see her, otherwise they will bully her when you try to reintroduce her.