Mix flour, cornmeal, sugar, baking powder, salt and cumin in large bowl; set aside. Beat egg , milk, butter and parsley in small bowl with wire whisk until well blended.
Add to flour mixture; stir just until moistened. (Batter will be lumpy.) Stir in cheese and corn.
Spoon batter into 12 greased or paper-lined medium muffin cups, filling each cup 3/4 full.