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In a food processor, pulse together the flour, brown sugar, cocoa and butter until crumbly (or simply cut the butter through the flour,cocoa and sugar with a pastry knife or two butter knives held between your fingers)
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Save a 1 cup of this crumble mixture to sprinkle over the top later.
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Press the rest of the crumble mixture into the bottom of a greased or parchment lined 9×13 inch rectangular baking pan.
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Bake at 350 degrees F for 25 minutes. Remove from oven and let cool for a few minutes while preparing the cheesecake filling.
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Beat together the cream cheese, white sugar, lemon juice and vanilla extract until smooth.
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Beat in the egg.
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Spread the cheesecake mixture evenly onto the pre-baked cookie base.
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Sprinkle the chopped cherries evenly over the cheesecake batter.
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Press together the the reserved cookie crumble in your fist, break off small pieces and sprinkle over the surface.
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Bake at 325 degrees F for 35 to 40 minutes or until the cheesecake is set at the center.
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Let cool completely in the pan before cutting and serving.
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You can drizzle the squares with chocolate too id f you like. Just melt together the chocolate chips and whipping cream in a double boiler. Spoon into a piping bag (or Ziploc bag with the corner snipped off) and drizzle a thin stream over each cookie bar.
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Refrigerate in airtight containers. Freezes well too.