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Preheat the oven to 375°F. Lightly grease an 8" square pan or a 2-quart baking dish.
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To make the fruit filling: In a large bowl, toss the fresh fruit with the lemon juice.
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In a small bowl, whisk together the sugar, Instant ClearJel or cornstarch, salt, and cinnamon. Add to the fruit mixture and gently stir to combine.
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Transfer the fruit mixture to the prepared pan and bake for 35 to 40 minutes, until the mixture is bubbling around the edges. While the fruit mixture bakes, prepare the cookie topping.
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To make the cookie topping: In a medium bowl, combine the butter, peanut butter, sugars, and salt. Use a flexible spatula to stir the mixture until it’s smooth and slightly lighter in color.
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Add the egg yolk, vanilla, and water; stir to combine.
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Stir in the flour and baking soda, mixing until no dry spots remain. Cover the cookie dough and set aside. If it’s warm in your kitchen, place the covered cookie dough in the refrigerator while the fruit filling bakes.
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Once the fruit filling is bubbling around the edges, remove the pan from the oven and place it on a cooling rack.
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Portion the cookie dough into 1 1/2" balls; a rounded tablespoon cookie scoop works well here. You should have 9 to 10 balls of cookie dough.
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Working on a small piece of parchment or on a lightly floured work surface, use the tines of a fork to flatten each ball of cookie dough to about 2 1/2" in diameter, making a crosshatch pattern.
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Carefully arrange the cookies in an even layer on top of the hot fruit in the pan and return to the oven. Bake the cookie-topped fruit cobbler for 20 to 24 minutes, until the cookies are set in the middle and just starting to brown around the edges.
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Remove from the oven and cool for 15 to 20 minutes before serving.
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Storage information: Store any leftover cobbler, covered, in the refrigerator for up to 3 days. Reheat at 350°F until warm; freezing is not recommended.