Eyelids not closing..ulcer

My daughter had the eyelids sutured on the outside of her eyes so she could still see out. Had an ulcer develop from not closing her eyelids for weeks. She closes them some of the time while sleeping but not all of the time since the sutures have been removed. One option is to tape them down rather than suture again. Does anyone have any advise? Did you have to think about closing them before you went to sleep? She does close them when asked but not always when sleeping. We do not want an ulcer to develop again.

Any discussions would be appreciated.