Hi there.. I can understand your worry.. your mother has hyperthyroidism(
tsh low and t3 t4 normal or high) and cause for it had to be evaluated so that we know whether or not she needs treatment or it would resolve by itself as in many conditions there would be initially hyperthyroid state which would get resolved spontaneously.. her weight gain is because of anti
thyroid medications she is been prescribed.. I would suggest you to visit endocrinologist once..