Chop the peaches and place them in a saucepan with water and sugar. Bring the water to a boil and let it simmer for 7 minutes, or until the peaches are soft. Remove from the heat and let cool.

Put the cooked peaches and liquid in a blender and blend until smooth. Strain out any skins and add lemon juice, water, and bourbon.

Put the mixture in a shallow freezer-safe dish and freeze for 6 to 8 hours. Flake with a fork or spoon and freeze again.

Scoop and serve in a glasses or shallow bowls.