The patient will be admitted to the hospital to have the transplant and is expected to stay for up to 4 to 6 weeks. The preparative regimen will be made up of busulfan, fludarabine and antithymocyte globulin (ATG). After the preparative regimen, the cells from the donor will be given. To try and keep the patient's body from rejecting the donor cells and the donor cells from attacking the patient's body (graft-versus-host disease, or GVHD), cyclosporine will be given.