Homemade Doughnuts

I have never actually made these, but my boys have perfected them! They got the recipe from a church cookbook.

Doughnuts:

2 T. Yeast
1/4 Warm Water
1 1/2 Cup Warm Milk
1/2 Cup Sugar
1 tsp Salt
2 Eggs
1/3 Cup Shortening
5 Cups Flour
Oil to fry Doughnuts

Glaze:
1/3 Cup Butter
2 Cups Powdered Sugar
1 1/2 tsp Vanilla
6 T Hot Water

Doughnut Directions:
1. Dissolve yeast in warm water. 
2. Add milk, sugar, salt, eggs, shortening, and 2 Cups flour.
3. Beat for 2 1/2 minutes on med/low.
4. Stir in rest of flour until smooth.
5. Cover and let rise in warm place until doubled.
6. Put on floured surface.
7. With a floured rolling pin, roll dough to 1/2 inch thick.
8. Cut with floured doughnut cutter and place on baking sheet, leaving room for doughnuts to rise.
9. Cover and let rise until doubled.
10. Sides must not touch.
11. Using a spatula, slide doughnuts into hot oil, turn as they rise to surface.
12. Fry until just golden.
13. Carefully remove and drain.
14. Dip in creamy glaze, cool on rack, and glaze again.

Glaze Directions:
1. Heat butter until melted.
2. Remove from heat.
3. Stir in powdered sugar and vanilla until smooth.
4. Stir in water 1 T. at a time, until desired consistency is reached.