Wash the peaches or nectarines, then cut all 3 fruits into small pieces.

Add the chopped peaches to a saucepan with 150 ml of the water and all the brown sugar.

Add the ground cinnamon, ground nutmeg, and salt to the saucepan.

Simmer the peach mixture over low heat for 10 to 15 minutes until the fruit is very soft and syrupy.

Stir the simmering peach mixture occasionally to prevent sticking.

Remove the peach mixture from the heat and let it cool completely.

Blend the cooled cooked peaches until smooth.

Juice 3 lemons to obtain about 150 ml lemon juice.

Pour the blended peach mixture and lemon juice into a pitcher.

Add the remaining 800 ml cold water and the vanilla extract to the pitcher.

Stir the lemonade well, then taste and adjust the sweetness with extra brown sugar if desired.

Strain the lemonade through a fine-mesh strainer if a smoother texture is desired.

Refrigerate the lemonade for at least 60 minutes until thoroughly chilled.

Serve the peach pie style lemonade in glasses over ice cubes.