Given that this allogeneic SCT regimen achieves engraftment and durable anti-tumor responses, yet is associated with GVHD, this protocol represents an appropriate setting for evaluation of donor Th2 cells. Initial patients will receive Th2 cells in a phase I manner. Three patients will receive 5 x 10(6) Th2/kg, six patients will receive 2.5 x 10(7) Th2/kg, and six patients will receive 1.25 x 10(8) Th2/kg. The highest dose of Th2 cells that results in an acceptable toxicity profile (not more than 1/6 serious adverse events) and a favorable rate of acute GVHD (not more than 2/6 cases of grade II or greater acute GVHD) will be selected for the phase II study arm. Eighteen patients will be treated with allogeneic SCT and Th2 cells on this phase II study arm. In the event that Th2 recipients have reduced GVHD, further clinical trials involving Th2 cells will be warranted.