Preheat the oven to 350°F / 180°C / Gas mark 4.
Cut the lemon in half and squeeze the juice from half of the lemon.
Peel and core the cooking apples. Chop each apple into even sized, small pieces and place in a pan. Pour the lemon juice over the apples.
Add the soft brown sugar, water and cinnamon and cook over a low heat (simmer) until the apples break down.
Remove the pan from the heat and put the apples into a mixing bowl to cool.
Put the egg whites in a clean bowl and whisk until they form peaks. Fold in the caster sugar and then the cooled apples.
Lightly oil 6 ovenproof ramekin dishes (or one larger dish) and fill with the apple meringue.
Bake in the oven for 20 - 25 minutes until the meringue is golden.