In a medium saucepan over medium heat, combine 6 cups water, rice, cinnamon, peach slices, sugar, and vanilla. Stir to combine.
Bring to a boil, reduce to a simmer and cook, covered, for 40 minutes, until rice is tender. Remove from heat and let cool. Discard cinnamon stick and puree in batches in a blender. Strain through a fine mesh strainer into serving pitcher.
Discard pulp, and stir in the remaining 2 cups of water. Serve warm or chilled, dusted with ground cinnamon.
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