Preheat the oven to 375 degrees F.Melt together the butter and maple in a 10-inch oven safe skillet. Bring to a boil and then reduce heat to medium. Boil for 3 to 4 minutes. Remove from heat and stir in the vanilla. Arrange the figs, cut side down in the skillet, overlapping them slightly if needed. Place the pastry over the figs and press down gently to secure, tucking the sides of the pastry under the figs as best you can. Using a sharp knife, make 3 small cuts in the center of the pastry. Place the skillet on a baking sheet and bake for 30-35 minutes or until the pastry is a dark golden brown. When the tarte tatin is done baking, remove it from the oven. Allow to rest in the pan for 2 minutes and then place a serving plate over the hot skillet. Carefully invert the skillet and allow the tarte tatin to fall out onto the plate. Garnish with thyme and berries. Serve warm with a vanilla ice cream. YUMMMM!