It could be that the TSH level is high, becuase your body is over producing the TSH to get the same amount of thyroid hormone in your body. If the TSH gets increasingly higher over time, you might want to consider, that your FT4 and FT3 are too low, which will give you hypothyroidism type of symptoms becuase your body needs a certain amount of the hormone to function properly. Keep talking to your doctor about your concerns, and always keep them aprised of a change in symptoms.

I myself, am hypo and my mother is hyper, and i have heard from many people on this forum and others that it has a tendancy to run in families, especially girls, though not at all limited to them. You might consider getting the FT4 and FT3 test just to be safe, becuase not all thyroid disorders show in TSH levels. What will be affecting her body will be the level of hormone in her body. You said that before you started the meds you had a low TSH level and high T3 and T4. That could mean that if she inherited your genes, its possible that she might still have the problem, but it doesn't show on that particular test. As long as you test her every six months to a year, you can rest easy and keep up to date on her status.

Good luck!