Blood is mostly made up from water and so a good starting point is to eliminate dehydration, which of course can become dangerous if not resolved. Make sure your Mother is drinking plenty of fluids to keep her blood pressure up and stable. When dehydration occurs the body does try to compensate by constricting blood vessels, increasing heart rate, but this can only work so much because when you need more oxygen for walking etc, the vessels must open again, dropping the pressure.
I remember one year going to Malta for three weeks and they were having a particularly hot summer there and I am from good old wet England. I was drinking very little and became very weak after a day, light headed and often nauseous. Shortness of breath became a huge issue too but after seeing a Doctor and then drinking lots of water, I soon recovered.