Dear Regina,
Although medications can certainly be a cause for dizziness, especially blood pressure medications, your mother's blood pressure is high, not low, and would thus be unlikely to cause her dizziness. Causes for dizziness and falls in the elderly are quite broad, and inclue problems with nerve sensation, inner ear disorders, medications, disordered blood flow to the brain, abnormal heart rhythms, and many others.
You are quite correct that these falls are extremely dangerous, and will most certainly lead to serious complications (such as a hip fracture, for example) if not corrected. I recommend that you see a geriatrician with expertise in problems of dizziness and balance. A neurologist might also be a consideration. However, from the blood pressure numbers you've provided me, it is not evident that the blood pressure medications are responsible for these symptoms. Also, it is important that your mother receive instruction on how to prevent falls, such as removing rugs and obstacles that may interfere with balance and consider using a walker for support.
Information in the Heart Forum is for general purposes. Specific diagnoses and therapies can only be provided by your physician.