Heat the water, peaches and sugar in a saucepan over medium heat. Bring the mixture to a boil, reduce it to a simmer and cook for 5 minutes. Remove it from the heat and let it cool slightly.

Carefully add the mixture to a blender and puree until smooth. Pour the mixture into a jar and refrigerate it for a few hours, or overnight.

Once refrigerated, pour the peach mixture through a fine mesh strainer into a large bowl measuring cup to get rid of the peach solids. I like to use a spoon to really press out all the juices and liquid!

In a large pitcher, combine the peach juice with the lemon juice. Refrigerate for at least 1 hour. You can taste at this point and add more lemon juice if desired! Stir the lemon wedges and peach slices into the pitcher.

Fill a plate with a tablespoon or so of cajun seasoning and rim a glass with a lemon wedge. Dip the rim into the seasoning and coat it. Fill the glass with ice.

Pour the lemonade over the ice and garnish with peach slices, lemonade slices and fresh oregano. Serve!