It sounds like you mom had a stroke in the left temporal/parietal area of the brain. The left temporal lobe of the brain is where the speech center is for expressive speech (Brocca's area) in more than 90% of population. The receptive speech center in located in the parietal lobe, where it meets the temporal lobe and this area is referred to as Werneke's area. It sounds like your mom has global aphasia - an inability to speak or understand speech. The hemiplegia to the right side of her body is consistant with a stroke to the left side of her brain which affected the motor strip.
Recovery from a stroke can be slow. It can take many months to see optimal recovery. Impaired swallowing is particularly problematic in that the person can aspirate food/drinks and develope pneumonia.
Physical therapy, occupational therapy and speech therapy all offer assistance in recovery. Many studies have shown that using music with therapy offers many benefits. I just read an article about the use of acupuncture in China with conventional therapies (physical, occupational and speech). The outcomes of patients receiving acupuncture was impressive. Over 90% of those who had acupunture with other therapies had significant recovery and returned home. This was about 40-50% better recovery than those who did not have acupuncture with conventional therapy. It may be worth looking into acupuncture as another mode of assisting with recovery.
Don't be discouraged. Your mom needs time to recover. She may have deficits as a result of the stroke but it is too soon to know what type of recovery she will have.
All the best to you and your family.