We believe that the heat shock proteins (Hsps) may be a good antigen for immunotherapy in multiple myeloma. In this study, we will grow Hsp-reactive T cells from healthy persons and myeloma patients. We will then determine if the T cells can destroy myeloma cells in test tubes and in animal models. We also want to know if these T cells will be harmful to normal blood cells. By selecting cells that kill only myeloma tumor cells but not normal blood cells, we will obtain these T cells and use them to kill myeloma cells in patients.