If your baby consistently experiences severe symptoms like continuous vomiting and the expulsion of undigested food shortly after eating eggs, it could indicate an allergy. Even if this has happened across multiple attempts at different ages (e.g., at 8, 9, and 14 months), it is important to treat it as a potential allergy and avoid eggs until you have consulted with a pediatric allergist or your pediatrician for formal testing. Do not continue to introduce eggs at home if such a severe reaction persists.