Would you let your helper stay the night somewhere else on her off day?

I personally would, as long as she will inform me beforehand regarding her whereabouts. Besides, it's her day-off--her personal 'me' time. This is because I believe that as long as she is working for us, she is under our custody. And we, as her employer, should still let her have work-life-balance while staying responsible to her duties. Of course, while we give our best to build a good relationship with our helper, we also always give her friendly reminder regarding what to do and what not to--and that she should always know the consequences of her actions.