You are right about the TSH and FT4/FT3 numbers not being what you would expect. One thing to note is that TSH is a pituitary hormone, not a thyroid hormone. Also, TSH is affected by so many things that at best it is only an indicator, to be compared along more important indicators such as symptoms and also with levels of the biologically active thyroid hormones, Free T4 and Free T3 (not the same as Total T4 and Total T3).
Ignoring the TSH inconsistency, for now, your daughters Free T4 is at the high end of its range, and her Free T3 is significantly above range, both of which are frequently associated with being hyperthyroid. There are two possible causes I can readily think of for her to be hyperthyroid. One is called Graves' Disease, and the other is a nodule on the thyroid gland, due to Hashimoto's Thyroiditis, that is dumping excessive thyroid hormone into her system. So the first thing I would do is to go to her doctor and request to be re-tested for TSH, Free T4 and Free T3, to confirm prior results. Along with those tests, I would request a TSI test for Graves' and for the Hashimoto's there are two tests required: Thyroid Peroxidase antibodies and Thyroglobulin antibodies. They are usually listed as TPO ab and TG ab. Those test results should clarify what is going on.
She was jittery and shaking, nauceous, clammy but not really hot or cold. She knew it was not dehydration or sugar levels. She was a swimmer and had an enlarged heart in high school. She was worried it was something to do with her heart - which is why she went to the ER.
TSH 6.67 Normal range: .3-3.62
T4: 1.26 Normal range: 0.71-1.31
T3: 4.9 Normal range: 2.5-3.9
For those members who will be trying to help, we need to know the reference ranges for the FT4 and FT3 tests, as shown on the lab report. Please describe any symptoms she has.