NG may have tried to save her own life telling the burglars she could get money from her family and/or her own accounts, if only they would keep her alive. Then opening the front door would become a NEW problem and the masked man discovered the Nest was still working.Weird. Have heard of burglaries gone wrong where the victim is killed at the home but not where the victim is taken from the home. That requires a lot of effort.
I suspect they used back or sliding doors to gain entry as most thieves do.