Are there any new foods you have added to her diet to supplement the removal of wheat/gluten? Multiple food sensitivities are not uncommon in people with Celiac. In fact, Celiac has been linked with several auto-immune dysfunctions. I'm not surprised to hear she had a weak immune system and caught a lot of bugs. Check out the Gluten File link that is posted as a sticky at the top of the Gluten Sensitivity forum list. There's a lot of good info in there.
Here is the link-->
http://neurotalk.psychcentral.com/thread1872.html