In 1994 I was diagnosed with celiac disease, which led me to create Celiac.com in 1995. I created this site for a single purpose: To help as many people as possible with celiac disease get diagnosed so they can begin to live happy, healthy gluten-free lives. Celiac.com was the first site on the Internet dedicated solely to celiac disease. In 1998 I created The Gluten-Free Mall, Your Special Diet Superstore!, and I am the co-author of the book Cereal Killers, and founder and publisher of Journal of Gluten Sensitivity.
You just need to ask them to check for the DR haplotype. HLA testing is more expensive when you check more haplotypes - there any many to check. Its a poor analogy, but when looking at a car engine, you can just check the oil, or you can also check the radiator, spark plugs and carburetor.
there are two DR types for each person - one from each parent. If even one of the two is DR3, then the person is at risk for celiac disease. But remember that around 25% of the entire population has DR3, too. If you are a celiac (or your husband), and your child has DR3, then the risk is something like 25%. We have a file on this called CEL-HLA on the main listserv which is available for you to download.
If the result is DR5 on one side and DR7 on the other, then the child has the same risk as if they simple had one DR3. Its complicated why thats true, you can read it in the above file.
If the child has NEITHER of the above scenarios, it is very very, very unlikely they will ever get celiac disease.
Most good commercial labs can run HLA, its much more common of a test than regular celiac testing (endomysial test).