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Preheat oven to 400°; grease a 12-cup muffin pan.
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In a small bowl, combine sugar and 1/4 t allspice; set aside.
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In a big bowl, whisk together the flour, baking powder, salt, baking soda, and remaining allspice.
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In another bowl, whisk together brown sugar, eggs, apple butter, butter, and vanilla until well blended.
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Add the egg mixture to the flour mixture and stir until just blended.
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Divide batter evenly among prepared muffin cups; sprinkle with sugar mixture.
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Bake for 18-22 minutes or until tops are golden and a pick comes out clean.
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Let cool in pan on a wire rack for 3 minutes, then transfer to the rack to cool.