Egg-free Cake recipes?

My son has an egg allergy.  I have succeeded in making him some egg-free biscuits, but even with egg substitute, I have never succeeded in creating a decent egg-free cake.  I was wondering whether anyone had any tips/ideas/recipes or perhaps could recommend a better egg substitite than the one I bought, for the specific purpose of making cakes.  It is probably too much to hope for, but egg-free pancakes and yorkshire pudding would be wonderful too!  I would be grateful for any feedback as his egg allergy is showing no signs of calming down, so he could be stuck with it for a very long time.  Thank you in advance.

Unexplained allergic reactions in young children

My son has had an egg allergy since he was 13 months old.  We have managed this well over the last 2 years, but suddenly at just under 3 years of age he is having very frequent allergic reactions that we cannot pinpoint.  He has had 8 allergic reactions in the last 3 weeks! (Relatively mild reactions, causing hives predominantly on his hand and feet with less on his face and the rest of his body) that have been treated with just anti-histamine.  We do not believe he was exposed to egg in any of these cases and currently have no idea what is causing them.  (The pattern of the reaction is also different to symptoms he has previously experience on exposure to egg.)  
I was wondering whether this was a familiar story to anyone and whether someone could shed some light on what might be going on?  Many thanks.