If her mother is coughing, that means she is breathing.
This a good, because that gives you more time to be able to help her without any brain damage.
You need to proceed with the Heimlich Maneuver, which is the process of pressing on the diaphragm. When this is done, the diaphragm pushes the food upward and out of the throat.
I believe that the answer is b. False because just because you don't have any symptoms doesn't mean you never will. For example, I never caught the flu in my childhood. But that doesn't mean I never will.