Preheat oven to 350°F. Grease a baking dish that is big enough to hold all of your peaches. Set aside.
Using a melon baller, scoop out a small amount of red flesh from the center of each peach (where the pit was). Place the peaches cut side up in the baking dish.
In a small saucepan combine butter and honey. Scrape the seeds from the vanilla bean and place the seeds and the pod in the saucepan. Stir the mixture over medium-low heat for several minutes, until the butter melts and the honey thins out slightly. Pour evenly over the peaches (discard the vanilla bean).
Bake for 20-30 minutes, until the juices have thickened and the peaches have softened but are still holding their shape. While the peaches are baking, assemble the ice cream.
For the ice cream:
Stir ground cinnamon into softened vanilla ice cream. Taste and add more cinnamon, if desired. Return the ice cream to the freezer to firm up.
For serving:
Top a warm peach half with a scoop of cinnamon ice cream. Drizzle the top with a spoonful of vanilla honey from the baking dish.