Combine milk, sugar, and cinnamon sticks in saucepan.
Bring to scalding point, stirring constantly.
Remove from heat and cool to lukewarm.
Meanwhile, beat eggs in a 1 1/2 quart casserole.
Gradually beat in milk sugar mixture; stir in vanilla extract.
Place in a shallow pan of water.
Bake at 325Â°F about 1 hour, or until custard is set.
Serve warm or cooled.