Poach the haddock in the milk on medium heat for 10 minutes. Remove haddock from liquid and set aside. Reboil the milk and make a beurre manie with the flour and butter. Add the beurre manie to the milk and mix until the milk boils to a thick cream like consistency, and remove from heat.
Combine 1/2 ounce of the corn flour with the egg yolks, and mix until well incorporated. Whisking vigorously, add the egg mixture into the hot milk mixture, and return to the heat. Cook mixture for 5 minutes.
Remove the mixture from the heat, and add the Parmesan and mustard. Whisk together until smooth and set aside.
In a separate bowl, whisk the egg whites and the remaining 1/2 ounce corn flour until stiff peaks form. In a separate bowl, take 1/3 of the milk mixture and 1/3 of the egg whites and whisk together until smooth. Flake the haddock, and add to the mix. Fold in the remaining egg whites.
Fill the 6 (6-ounce) ramekins with the souffle mix, and place on a baking sheet with a little water. Bake in oven for 20 minutes.
Remove souffles from oven and allow to cool. Remove souffles from ramekins, add a little double cream into each ramekin, and place souffles back into ramekins. Set aside.
Place the souffles back in the oven for 4 minutes.
To plate the haddock, first place a spoonful of the leek mixture in the center of the plate. Place three halves of the quail eggs around the plate. Remove haddock souffles from ramekins and place on top of the leek mixture. Add the sauces randomly on plate, sprinkle with chives, and serve hot.