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Preheat oven to 350 degrees and grease a 2 1/2 quart baking dish. Set aside.
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In a medium sized saucepan, heat peaches, sugar, flour, water, cinnamon, and nutmeg over med-low heat, for about 5-6 minutes, stirring occasionally. Allow mixture to cool, about 5 minutes.
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Pour warmed peach mixture into the baking dish.
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Cut each cinnamon roll into fourths, and sprinkle the dough evenly over the top of the peaches.
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Tent a piece of foil over the baking dish, and bake for 20 minutes.
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Remove the foil, and bake the cobbler for an additional 20-25 minutes, or until peaches are bubbling and cinnamon rolls are golden brown.
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Whisk powdered sugar, vanilla extract, and 1 Tbsp heavy cream together. If the glaze is too thick, add the additional Tbsp of heavy cream.
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Once the glaze is at your desired consistency, drizzle it over the top of the cinnamon roll peach cobbler.
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Store leftovers in the fridge.
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Enjoy!