While the cause of MS in not known, there is an autoimmune component that destroys nerve cells. Autoimmunity is a condition where an individual's immune system attacks his/her own cells. Bone marrow stem cell transplantation has been shown to halt autoimmunity. Stem cell transplant can be performed using the patient's own cells, or donor cells. The general consensus in the field is that donor transplant is most likely to halt disease progression. This study is designed to evaluate the safety of a donor transplant procedure as a therapy for relapsing remitting multiple sclerosis (RRMS).