Re: help with results please
Your sister should find a doctor who knows something about thyroid disease. She is hypothyroid. The FT4 is very low according to most ranges, and her TSH is high enough to indicate the problem. Most people without thyroid disease have TSH of around 1. The Amer'n Acad. of Clinical Endos says that TSH of above 2.5 accompanied by symptoms merits a trial of supplemental thyroid hormone.
The family history is even more proof of your sister's condition.
Let us know what she plans to do next and how it turns out.