Although peanuts have grabbed the headlines, a small but significant number of people experience severe allergic reactions to sesame seeds. As with peanut, total avoidance is essential. It is likely that heating does not destroy the allergenicity of sesame. Chinese stir fry oils sometimes contain sesame oil. Sometimes it is to be found in Aqua Libra.
Egg allergy is usually mild, but in rare cases can trigger anaphylaxis.
Food labels must be thoroughly scrutinised for products containing egg or albumen. The emulsifier known as lecithin can be derived from egg, although in practice this is uncommon. If you in doubt about any product, it is best to contact the retailer or manufacturer. Others are allergic even to egg which has been well cooked. People who are fine with cooked egg are more likely to grow out of egg allergy.