Sift dry ingredients into mixing bowl. Add cream, milk and vanilla. Mix to dampen dry ingredients. Beat 1 minute at medium speed of electric mixer, or 150 vigorous strokes by hand.
Add eggs and mix 1 minute longer.
Pour into 2 paper-lined 8" round layer cake pans. Tap sharply on table top to remove air bubbles. Bake in moderate oven (350°) about 40 minu