Lofthouse Sugar Cookies {supposedly from the granddaughter of the founder}

Lofthouse Cookies:
2 eggs
2 C. sugar
2 C. cream
2/3 tsp. Salt
2 tsp. baking soda
2 tsp. baking powder
2 C. shortening (Lard)
Vanilla to taste
Enough flour to form a soft ball (She told me that the key to making soft, fluffy cookies is to add a lot of flour. But she didn't tell me how much. )

I assume that you just mix all of the ingredients together because there are no special directions listed. Bake at 350º (again no specified time) and the cookies need to stay white.

Icing:
1 pkg. powdered sugar
1 egg
1 can condensed milk (for spreading)
1 tsp shortening
1 tsp butter