TSH ranges are really bogus. The normal range does not mean that you are normal only that you fall into a statistical norm that also includes those who have major thyroid problems. Middle is not good! Good is near 1.0
Using iodized salt or iodine in vitamins? [important]
Check waking body temp.
Does your doc palpate your thyroid gland? Does your neck look thick at that location? -google
Does your thyroid have lumps?
Find out what kind of thyroid problem your mom has.
Ask your mom what her history of using iodized salt is.
Read this so you can know what to expect from your doc: