Just want to say these last two years I discovered that besides having celiac I also have a high degree of sensitivity to a variety of other food chemicals namely: salicylates, tannins, amines and oxalates. These are not allergies, instead they are sensitivities, which INHO unfortunately are largely ignored by both sides of our medical establishment in the USA.
Nevertheless, IMHO they can cause problems that greatly aggravate the quality of one's life and can, if left ignored, create more severe problems down the road--not to speak of skin and breathing conditions, and learning, behavioral and neurological problems (including migraines and myoclonus), especially if these sensitivities combine with either more limited or severe gluten intolerance.
I have found a good support group and info on the salicylate sensitivity forum which covers more than just salicylate sensitivity these days. There is a lot of information too about this coming out of Australia, notably Sue Dengate's food and chemical sensitivity site plus her books on the subject (she won the woman of the year award in Australia recently), as well as the RPAH Failsafe diet.
Feingold here in the USA also in a more limited manner covers some of this, plus there is the oxalate info site and trying low oxalate yahoo group which comes from a medical researcher in Texas, and various information coming out of parents concerned about their autistic or ADHD (or ADD) children (which also affects adults too of course).
This kind of information is often not mentioned in the US, but IMHO I have discovered these conditions are not as rare as I first thought--despite our medical establishment seemingly at least lagging behind.
I also wanted to mention that it seems like many folks here who have thyroid problems discover that their condition improves if they have been gluten free for some time. I have a friend who still has to take thyroid medicine for instance, but his supposedly "never to get better" Hashimotos' diagnosis went away--so his thyroid is getting better rather than deteriorating more as was originally expected.
Diagnosed celiac sprue as infant: failure to thrive & pneumonia-back on grains age 4. Began herbs 1971 combating chronic kidney disease/general ill health 1973. Avoid wheat family and "allergens" by 1980. Late 80's doc. diagnosed candida: cave-man diet. Diagnosed degraded myelin sheath 2006; need co-enzyme B vitamins. Discovered celiac fall 2007; finally told diagnosis as infant. Recently found I am salicylic acid intolerant. Ironically can't tolerate most herbs now. Can now eat brown rice & other gluten-free grains (except corn) & even maple syrup & now homeopathic medicine works! Am still exploring the shape of this elephant but I've made progress!