In a medium bowl, combine flour, brown sugar, baking powder, baking soda, salt, and cinnamon.
In another bowl whisk together eggs, buttermilk, and 1/4 cup melted butter.
Add wet ingredients to dry along with banana and stir to combine.
Heat a griddle over medium heat. Coat with melted butter and drop batter onto griddle using about 1/3 cup per pancake. Cook for about 2 minutes per side, until golden brown. Can be kept warm in a 200 degree oven.
To make syrup, combine 1/4 cup melted butter, brown sugar, and water in a large skillet. Bring to a boil and continue to boil until mixture thickens slightly, about 2 minutes. Remove from heat and add sliced banana, vanilla extract, and rum extract.