As Yomawari: Night Alone.
What is Yomawari, you ask? Well first of all, remember those lovely paintings that came out years ago of classic games reimagined with razor-sharp art? Remember the one for Link to the Past?
Well it kinda' looks like that, except totally hand-drawn and it has a nice little lighting engine in it.
A simple but atmospheric game, it's considered an "action-horror," though the action mostly consists of outrunning or outsmarting the monstrous entities that swarm the town after dark. I've never seen gameplay of the little girl hurting or attacking the spirits - it's flee or perish for our intrepid nocturnal explorer.
Here, have a trailer!
Yay for little weird Vita games! You're goin' on the list.