Although I posted the definitive guide on chicken eggs, your mileage will vary greatly with quail eggs, so here are a couple of good references:
- http://www.quail-egg-recipes.com/boil.html
- http://ca.dummies.com/WileyCDA/how-to/content/hardboiled-quail-eggs-with-matcha-salt.navId-323361.html
Update: After following the directions on un-shelling the hard boiled eggs, I would avoid the towel method and simply use the back of a paring knife to crack the shell and use the tip to pierce the membrane and then simply start peeling.