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Preheat oven to 375F. Coat a 9-inch square baking pan with cooking spray. Set aside.
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Put sliced peaches in a large bowl and toss with lemon juice.
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In a separate bowl, stir together lemon zest and graham cracker crumbs. Work the butter into the mixture with your fingers (or a fork) until the texture is sandy. Add the sugar, brown sugar, cinnamon, ginger, nutmeg, cloves, and salt; stir until combined.
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Spread half of the graham cracker mixture on the bottom of your prepared pan. Layer the sliced peaches on top of the graham crumbs. Sprinkle remaining crumbs over the fruit.
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To make the topping, sprinkle the brown sugar evenly over the top. Dot with butter.
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Place the pan on a baking sheet (to catch drips) and bake for 30 - 35 minutes in the preheated oven. The topping should brown and the betty itself should be bubbly. Serve warm with ice cream or whipped cream.