Preheat corn oil to 350 degrees F.
Begin by combining the warm milk and yeast in a mixing bowl with a dough hook. Add the flour, eggs, butter, sugar, salt, and vanilla. Mix until all ingredients are incorporated. Cover dough with plastic wrap, and let it rise for 30 minutes.
Remove dough from bowl, and place on a lightly floured surface. Shape or roll out dough, and cut into desired shapes. Carefully place a few doughnuts at a time in fryer, and fry for approximately 3 minutes, or until golden brown.
This recipe was provided by professional chefs and has been scaled down from a bulk recipe provided by a restaurant. The FN chefs have not tested this recipe, in the proportions indicated, and therefore, we cannot make any representation as to the results.