So I guess the ANA tests are just the first step - they say you've got some kind(s) of autoimmune disease, but not what type. This is a good site: Lab Tests Online

and it had this table summarizing the various tests and their interpretation: Systemic Autoimmune Disorders

There is an interesting article called The Mosaic of Autoimmunity here.

You may already know all this stuff - I'm interested because sometimes I wonder if the Hashimoto's is all that's going on for me, too.