T.H.
My son (age 2) has very similiar reactions every time he eats carrots, but so far no doctor has said he is allergic to them. It got to the point that I could look at his bottom and know what he ate for lunch at school. After finally finding his new allergist, she said to make sure he didn't eat them again. That was months ago and no more reactions!
The hardest part....finding soups, mixed vegetables, etc that don't have carrots in them.