During the 4 to 8 weeks following blood cell infusion, participants will need frequent blood tests to monitor their counts and blood chemistries. Participants will need frequent blood transfusion and may have to be admitted to the hospital to receive antibiotics if they develop fever. Bone marrow will be examined frequently beginning four weeks after treatment to check response. Participants that achieve normal bone marrow and blood counts will be evaluated to determine the most appropriate form of future therapy. Participants who fail to respond to treatment will be offered other therapies.