Beat the butter until it is soft and fluffy. Add 3/4 cup of the sugar and the egg and continue beating. Add 2 teaspoons of the cinnamon, the nutmeg and flour, and beat until well mixed.
Spread about 1/3 of the batter on an ungreased baking sheet, forming a rectangle about 10 x 12 inches and bake in a preheated 400 degree F oven for 8 minutes, until lightly browned.
Remove from the oven and allow to cool.
Repeat two more times with the remaining batter.
Whip the cream until stiff, and fold in the remaining 1/4 cup sugar, the remaining 1 teaspoon cinnamon and the vanilla extract. Spread a thin layer of whipped cream on one of the cakes, top with another cake, and repeat.
Spread remaining whipped cream on the top and serve immediately.
Serves 8 to 12