Very possible that your child is having problems with vaccines. Please do not vaccinate your baby any further until you do the research. Many of the vaccines are 'brewed' in eggs and when you inject the solution, the body is suppose to fight whatever is in that injection, hence the egg allergy (easiest laymans terms I can think of). It is a trained response started by a vaccine.
You can contact me about diet and everything as we have been through this. Wheat/gluten and dairy/casein are hidden in SO many foods so you have to get really good at reading labels but here are books and websites for you to start with:
The first one to read is:
Healing the New Childhood Epidemics: Autism, ADHD, Asthma, and Allergies: The Groundbreaking Program for the 4-A Disorders, by Dr. Kenneth Bock
www.909shot.com
www.tacanow.org - Go to this website for information on the diet and remove soy as well as it very well could become a problem.
The Vaccine Book, by Dr. Robert Sears
What Your Doctor May Not Tell You About Childhood
Vaccinations, by Dr. Stephanie Cave
Evidence of Harm, by David Kirby