Preheat oven to 375 degrees F. Coat an 8- to 9-inch baking dish with nonstick cooking spray.
In a medium bowl, combine the flour, cornmeal, baking powder, baking soda, salt, pumpkin pie spice, and nutmeg. Set aside.
In a large bowl using an electric hand mixer, beat the butter with the brown sugar for about 2 minutes, or until well combined. Add the pumpkin puree, eggs, maple syrup, and vanilla and beat again for about 1 minute or until combined, scraping the bowl as needed.
Using a wooden spoon, stir in half of the flour mixture just until moistened followed with half of the buttermilk, stirring just until just combined. Repeat with remaining flour mixture and buttermilk.
Pour the cornbread batter into the prepared dish. Bake for 25 to 30 minutes or until a toothpick inserted in the center comes out clean. Baking time will vary depending on the size of the pan so watch closely towards the end of baking time.
Remove from the oven and allow to cool for about 10 to 15 minutes, then slice and serve with the Cinnamon Honey Butter while still warm.