Does anyone know if tuberculosis can be genetically inherited, say from a parent to a child?

No. Tuberculosis is an infectious disease, caused by the bacteria mycobacterium tuberculosis. It is not genetic. However, if a woman has TB while pregnant, it is possible for her fetus to become infected in utero. Though extremely rare, TB can reach the baby through the placenta or infected amniotic fluid. Exposure to the mother's respiratory secretions after birth can also transmit TB to the newborn.
No. Tuberculosis is a disease that can get transmitted from one person to another through respiratory droplets.
Inherited=no/passed. Tuberculosis is caused by a germ, not a gene defect.It is not passed in the genes.There are cases known, usually in underdeveloped countries, where a mother with active TB passes it to her fetus in the womb. It can cause a devastating infection and or meningitis in this setting.