Preheat oven to 350.
Butter a square 8 x 8 glass baking dish, and set aside.
In a large mixing bowl, whisk together milk, vinegar, eggs, vanilla, melted coconut oil OR butter, and maple syrup.
In a smaller bowl, stir together flour, baking soda, and cinnamon.
Dump the dry ingredients into the wet ingredients, and stir briskly until just combined. Do not over-mix.
Pour the batter into the buttered baking dish, and bake at 350 for about 25 minutes, until the center springs back to the touch.
While the pancakes are baking, warm the banana and frozen berries in a small saucepan, to make the compote.
Cut and serve the pancakes with the compote on top, and whipped cream, if you like.