Please review the list of symptoms and tell us which ones she has. Don't assume that a symptom is just age related, and leave it off the list. Tall us all that she has.
What is her daily dose of Levothyroxine? Which, if any of those symptoms does she have? Why do you say she has liver problems?
I agree with everything gimel has said and would like to add that your mother should talk to her doctor before adding CBD to her regimen. In most cases, it shouldn't interact with her medications, particularly, the thyroid medication, but she needs to make sure it won't have an adverse affect on the liver. It will depend, partially, on the delivery method as some substances must be cleared by the liver and if she already has liver problems, adding something else might exacerbate the issue.
It's necessary to discuss the issue with her doctor to make sure the CBD she wants to take won't be filtered through the liver. In some states, CBD is actually recommended by doctors for anxiety and certain other problems
Do be aware that anxiety can be a symptom of hypothyroidism, so if her thyroid levels aren't adequate that could be a cause of her anxiety.
I have no knowledge about any effect of the CBD oil: however, before even considering taking it I would want to be sure that her thyroid process is in control. By that I mean she is taking enough thyroid med to relieve any hypothyroid symptoms. Usually this requires tht her Free T4 is near mid-range, and her Free T3 is in the upper part of its range, and adjusted from there as needed to relieve symptoms. Along with that she needs her Vitamin D at least 50 ng/mL, B12 in the upper part of the range, and ferritin at least 100.
Please post her thyroid related lab test results and their reference ranges shown on the lab report. Also, what thyroid med is she taking and what is the daily dosage? Which, if any, of the following symptoms does she have?
Fatigue
Increased sensitivity to cold (temp. below 98.6 which is considered normal)
Constipation ( have to use fiber or laxatives)
Dry skin (have to use moisturizer)
Weight gain
Puffy face
Hoarseness
Muscle weakness
Elevated blood cholesterol level
Muscle aches, tenderness and stiffness
Pain, stiffness or swelling in your joints
Heavier than normal or irregular menstrual periods
Thinning hair
Slowed heart rate
Depression
Impaired memory
Enlarged thyroid gland (goiter)
insomnia/sleep apnea