I've had both coturnix and buttons go brood and hatch there own chicks but its not something you plan to do. After hatching you need to remove them quickly or it gets ugly. When the market is poor we don't bother incubating so we may leave a hen on the eggs to stop her from laying. Normally after a few days they will abandon the nest and we will dispose of the eggs but some don't. Its odd sometimes as different hens may sit on the same nest like there job sharing.
A major problem with buttons is when a hen goes broody every other hen will lay eggs in her nest so you end up with a tiny hen sitting on 20 eggs. Now if the hen has a male to guard her then a broody hen (maybe more than one) can incubate them to term.
Once born quail especially buttons tend to spend all day trying to kill themselves so if you plan on incubating or you end up with some by accident you will need to do your research on brooding them. Things like non slip mats, marbles in the water dish, soft netting over head, etc, etc.
I would plan on incubating if you really want to hatch some chicks
I just re-read the original post
You are asking if you can put quail eggs under a chicken?
well errrr hmmmm ...... no idea. I wouldn't have thought so.
Edited by gpop1 - 12/12/15 at 7:56pm