look at this site for information on egg allergies. It looks like if there is a family history of allergy that you should wait 2 years. Although it also says in general one year for whites and 6 months for well-cooked yolks, unless family allergies.
Egg yolks are a great, early food for babies; they are loaded with good fats for babies developing brains. Egg whites are an allergy trigger food and should not be given to babies before they turn 1. This is not a complete list, but other allergy trigger foods are soy, dairy, wheat, citrus, strawberries, nuts.