Patients have an EBV-positive cancer. We had gotten permission to take blood from patients in the past, which was used to grow T cells in the laboratory. We first grew a special type of cell called dendritic cells to stimulate the T cells. We then put a specially produced human virus (adenovirus) that carries the LMP1 and LMP2 gene into the dendritic cells. These dendritic cells were then treated with radiation so they could not grow. They were then used to stimulate T cells. This stimulation trained the T cells to kill cells with LMP1 and LMP2 on their surface. We then grew these LMP1- and LMP2-specific CTLs by more stimulation with EBV infected cells (which we made from blood by infecting them with EBV in the laboratory and treated them with radiation so they would not grow). We also put the adenovirus that carries the LMP1 and LMP2 genes into these EBV infected cells so that we increase the amount of LMP1 and LMP2 that these cells have. Once we made sufficient numbers of T cells we tested them to make sure they kill cells with LMP1 and LMP2 on their surface. These cells are now ready to give to the patients if they agree to participate in this study.