 This treatment with specially trained T cells called CTLs has had activity against these viruses when the cells are made from the transplant donor. However, as it takes 2-3 months to make the cells, that approach is not practical when the subject already has an infection. We want to find out if we can use CTLs which have already been made from another donor that match the subject and hisher donor as closely as possible and if the CTLs will last in the body and have activity against these viruses. 