In a one cup measuring cup combine the milk, eggs, orange zest, juice from one orange and enough water to equal one cup. Place into bread machine. Add the flour, sugar, yeast, salt, butter or margarine and cinnamon and turn machine onto dough cycle.
When cycle is complete, divide the dough into 20 equal portions and roll into balls. Dip balls into melted butter and then into white sugar. Place in greased ring tin.
Let rise for 35 to 45 minutes.
Bake in a preheated 190 degrees C oven for 25-30 minutes. Let cool for 5 minutes then remove from pan.
If desired, glaze with a mixture of icing sugar and orange juice.