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To prepare base, cut shortening into dry ingredients, mix well.
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Pat firmly and evenly into an 8 inch square pan and bake at 350 deg. F. for 10-12 minutes. Cool.
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Note: the base and cake are baked separately.
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For cake: cream shortening, and sugar; add eggs and vanilla, beating well until fluffy.
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Sift flour, baking powder and salt together; add to creamed mixture alternately with milk.
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Pour batter into a greased and floured 8 inch square pan.
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Bake at 350 deg. F for 25 - 40 minutes.
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Frosting: in small saucepan, stir tog. milk and flour.
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Cook, stirring constantly, until mixute is thickened and smooth. Cool.
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On highest speed of mixer, beat cooled flour mixture with butter, shortening and vanilla until smooth and fluffy.
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Blend in icing sugar and salt; continue beating until frosting is very fluffy. This will take at least 15 minutes.
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To assemble cake: place shortbread base on serving plate; spread with small amount of frosting.
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Place cake on base. (you can split the cake for layers).
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Cover top and sides of cake with remaining frosting. If desired, garnish sides of cake with shaved semi-sweet chocolate.