Grease a 9-inch square pan and preheat the oven to 350 degrees.
Submerge the peaches in boiling water for 30 seconds, and then place the peaches in a bowl of cold water. When cool, you can easily remove the skin from the peaches.
Combine the dry ingredients in a small bowl and set aside.
Stir together the ghee, 1/2 cup maple syrup, eggs, and vanilla in a large bowl. Add the dry ingredients and mix until combined.
Fold in the chopped peaches.
Transfer the mixture to the prepared pan. In a small bowl, mix the remaining maple syrup with the cinnamon. Drizzle over the cake.
Bake for 45 minutes, or until a toothpick inserted in the center comes out clean.
Cool the cake on a wire rack, then cut it into 9 square pieces.