I have, though not to such a severe extent. My babies have all been sensitive to dairy foods. Even from tiny babies. I can't consume dairy (a little cows milk in coffee is ok) or they get terrible tummy pains and wind.
TBH, I wouldn't be tempting fate. She probably reacted more severly to it in your milk because she was already having a reaction, but I wouldn't be eating too much egg in future if I was you. Maybe just in cakes, and cooking, but not straight, like omelettes or scrambled eggs.
I'm glad your little miss is ok.