It has happened to me once. Out of oh i don't know....a thousand birds. She abandoned the eggs at day 13-14 and I had put them in the bator. None of them hatched, which given my typical hatch rate is a testament to her mothering ability. It may matter that the bird in question was on the older of end of birds I keep (every 9-12 months I rotate my breeding stock) I have talked to a few people on forums such as this who have had a broody hen but when it comes time to show results of the brood the thread dies, which I usually take to mean disappointing results.
It is likely to be more common than most people think because most people collect eggs daily. Who leaves 10 days worth of eggs in all their quail pens? (they won't start to sit on the eggs until the whole clutch is dropped.) However we the people have damaged this species mothering instinct beyond repair and I wouldn't get my hopes up. Even if they sit the eggs they still have to know to roll them and sit them the entire time until hatch.
None of this means it can't or won't happen, so give it a try. Let your hens keep their eggs for two weeks and see what happens.