That doesn't sound like my experience or anything that I've read. What species of quail are you raising? I raise coturnix quail, and no, the parents will not recognize their chicks if they're incubated. The chances of them raising their own chicks is very, very slim, though, so I wouldn't expect that.
Do you have any specific questions on brooding or raising them? You should keep them in a brooder and keep an eye on them to see where their comfortable temperature is, starting at 95-100 degree Farenheit. By week 3 they should be comfortable at room temp and off of heat.
Once they're old enough to be introduced to other birds, you should probably put them in an area where they can see but not touch each other until they get used to each other, then put them together. Keep an eye on them, however because each bird is different and some get along with others better.