Preheat oven to 400 degrees. Lightly grease a 12 cup muffin tin.
In a large bowl, stir together flour, cornmeal, sugar and baking powder. Make a well in the center of the dry ingredients. Add the cream, oil, honey and eggs; stir to combine. Pour butter into prepared muffin pan.
Bake in preheated oven to 20 to 25 minutes, until a toothpick inserted into center of pan comes out clean. Makes 12 muffins. Enjoy!