This is a proposed follow up study on the investigators previous gene transfer human clinical trial entitled "Administration of a Replication Deficient Adeno-associated Virus Gene Transfer Vector Expressing the Human CLN2 cDNA to the Brain of Children with Late Infantile Neuronal Ceroid Lipofuscinosis" (Weill Cornell IRB# 0401007010). As in the previous study, the investigators propose to administer a biologic by direct gene transfer into the brain and assess its safety on children with a fatal genetic disease of the central nervous system (CNS). The disease is Late Infantile Neuronal Ceroid Lipofuscinosis (LINCL, a form of Batten disease). This will be accomplished by using delivery of a gene (method called gene transfer) to administer to the brain an experimental drug called AAVRh.10CUhCLN2, a gene transfer vector.