Jessie,
Your mom needs to be on a name brand, not generic thyroid medication. If she gets medicine from different manufacturers, she might metabolize (digest) them differently. Her lab results will then vary greatly & the doctor will not know what to do. In USA, the pharmacy does not tell a person when the manufacturer changes, so that is a problem here. The TSH should be under 2.0 but should not be low, especially if the Free T3 or free T4 are high. That could cause osteoporosis or cardiac (heart) problems.
Dr. Lupo will not likely answer here. You have to take your discussion to the Expert forum.