  We compute, by two methods, the genus one degree zero orbifold Gromov-Witten
invariants with non-stacky insertions which are exceptional cases of the
dilaton and divisor equations. One method involves a detailed analysis of the
relevant moduli spaces. The other method, valid in the presence of torus
actions with isolated fixed points, is virtual localization. These computations
verify the conjectural evaluations of these invariants. Some genus one twisted
orbifold Gromov-Witten invariants are also computed.
