What are the units for the reference range on the FT4? The numbers don't match the result or should the result be 1.38 instead of 138? There's a big difference.
Thyroid disease (and autoimmune conditions in general) tends to run in families, though not every member of the same family will get the same thyroid condition, or even the same autoimmune condition... Also, once a person has one autoimmune, the chances are greater that they will get another or more...
The elevated TPOab confirms Hashimoto's...
Okay, so your daughter has been hypo for years... How long has she been on the 150 mcg of Synthroid? Her symptoms are certainly those of being hypo...
Do you not have access to the reference range for the T4 test, then, if you can't access it online? Can you call the doctor's office and ask? Or even the lab that performed the test? Reference ranges vary lab to lab, so we need to know the range used by her lab in order to know where her result falls within that range.
Your daughter's test results show a high TSH that then triggered a test for the antibodies of the most common cause for diagnosed hypothyroidism, which is Hashimoto's Thyroiditis. With Hashi's the autoimmune system erroneously identifies the thyroid gland as foreign to the body and produces antibodies to attack and eventually destroy the gland. As this proceeds the output of the gland is diminished and results in lower amounts of T4 and T3 which causes the TSH to rise in an effort to stimulate more output from the gland. Instead of the Total T4 test that was done, she should be tested for the biologically active thyroid hormones, Free T4 and Free T3. Typically when TSH is the range, then Free T4 and free t3 will be in the lower part of their ranges. Sometimes doctors will interpret this as being adequate; however, the most important consideration is whether she is having hypothyroid symptoms. If she is then she needs to be started on thyroid med and then re-tested and dosage adjusted as needed to relieve symptoms. Symptom relief should be all important, not just test results. You can get some good insight from this link written by a good thyroid doctor.
http://www.hormonerestoration.com/Thyroid.html
The most important thing for your doctor is to find a good thyroid doctor. By that I mean one that will treat clinically by testing and adjusting Free T4 And Free T3 levels as needed to relieve symptoms.
What are the reference ranges for the T4 and TPO and TgAb? Is the T4 Free T4 or is it Total T4? If the report doesn't specify Free T4, it's Total, which is considered obsolete and not terribly useful, but we'll make do with it...
Also the TPO... is that really just TPO or is it TPOab, which is another antibody test?
Sorry to answer your question with more questions...
Her symptoms are all those of being hypo... Can you get one of her doctors to order another set of tests to include, both Free T4 and Free T3?
It looks like she might not converting Free T4 to the active Free T3, but it's impossible to tell, without a Free T3 test and they really need to be run together...
Why is your daughter seeing a rheumatologist?
Your daughter's FT4 is over the reference range, indicating that she may be over medicated, even though her TSH is higher than normal.
In what way does she "feel awful", i.e. what symptoms is she having?