Is there a test that can confirm that a chronic illness is due to black mold exposure?

Remove the mold!!! Like with much of what we do we make make various assumptions based upon associations. What can be done is test for presence of mold, test for allergic/ige sensitivity to mold, also for hypersensitivity/igg to mold. Removal of mold is essential and response to this removal can suggest that the mold was responsible.
TEST FOR ILLNESS. No there is no test, if you have symptoms of black mold exposure and envorenmental exam in your house confirms black mold, then you should have black mold cleaned and see if your sumptoms improve, that will suggest that it was due to black mold.