when you first cover you should of been noticing that it may take a few minutes to several for them to settle then they sleep till just after dawn when they will move about even covered and snack of some of their food.
and no you cover..completely ...just leave as you have been i ...assume...a small table lamp on so some light gets thru the covering but not much.

and now she is getting some really good excercise if she is hanging upside down and flapping ...so thats great ...much better than shredding a wooden ladder...
