Is TSH the only test that was ordered? The doctor should also have ordered Free T3 and Free T4, which are actual thyroid hormones. If those tests were ordered, please post the results here, with the reference ranges, which vary from lab to lab and have to come from your daughter's own report.
It's not high TSH that makes your daughter feel bad; it's low thyroid hormones and her pituitary gland is calling for her thyroid to produce more hormones and it's not listening... With a TSH of 26.5, I'm sure your daughter's hormone levels are pretty low, as symptoms indicate... Did the doctor start her on replacement thyroid medication? If so, what med, dosage?
If Free T3 and Free T4 were not performed, make sure they get ordered, in the future, EVERY time your daughter has a TSH test, because adjusting her medication, based on TSH, alone, will end up keeping her ill. TSH can fluctuate as much as 75% over the course of a day...
You should also ask the doctor to order antibody tests to determine if your daughter has Hashimoto's Thyroiditis, which is an autoimmune thyroid condition, in which the body sees the thyroid as foreign and produces antibodies to destroy the thyroid gland. The antibody tests she needs are Thyroid Peroxidase Antibodies (TPOab) and Thyroglobulin Antibodies (TgAb). She needs them both, as they're both markers for Hashimoto's. Some of us have one or the other and some have them both.
can use of tablets be eliminated after long use madam ?
Use of what tablets? If you're referring to thyroid hormone tablets, those are usually needed for life, because we can't live without thyroid hormones.
No alternate therapy... nothing replaces thyroid hormones, except thyroid hormones.