  Virasoro constraints for orbifold Gromov-Witten theory are described. These
constraints are applied to the degree zreo, genus zero orbifold Gromov-Witten
potentials of the weighted projective stacks $\mathbb{P}(1,N)$,
$\mathbb{P}(1,1,N)$ and $\mathbb{P}(1,1,1,N)$ to obtain formulas of descendant
cyclic Hurwitz-Hodge integrals.
