Elevated T4 and T3 with a normal TSH could be a few different things. Would recheck using a different lab and check Total as well as Free levels. If it is a true abnormality, then Thyroid Hormone Resistance (THR) is one possibility and a pituitary problem would be the other. If her growth/activities/schoolwork are all appropriate/good then not likely a pituitary induced hyperthyroidism. THR can be confirmed with specialized testing. These are all so rare, that the chance of a pediatric or regular endo seeing this is quite low -- so outside of a university setting specializing in thyroid, it probably doesn't matter which she sees.
I maybe should have included the test results that I do have.
From the first trip to the Ped Endo Aug 2011 (I don't have the ranges):
TSH: 3.53 (normal),
Free T4 0.51 (Low I believe this was tested via dialysis)
Total T3: 166 (normal),
Total T4: 15 (modestly elevated),
thyroglobulin antibody was negative
thyroglobulin normal 22.8
Test results from our local Clinic Nov 2012:
Elevated FT4 1.89 (.58 - 1.64 ng/dl)
Normal FT3 4.02 (2.50 - 3.90 pg/mL)
Normal TSH 2.03; (.34 - 5.60 mIu/mL)
Thyroid binding globulin was normal at 21 (13-30)
Her symptoms: Sweaty hands and feet, thicker arm hair, Irritable, sensitive (cries about EVERYTHING), Anxiety, very low pain tolerance, Changes in vision "Lazy Eye" - This eye is also slightly larger than the other, IBS, Frequent Bowel movements (3x/day), headaches.