Our daughter is our youngest, and one night our children were playing chase and slam the bedroom door. Then we hear a thunk, screams, daughter sobbing, and learn her pinky is slammed flat into the door. We made a late night ER trip oh so many years ago on that one. Similar effect, except they had to finish removing her fingernail and apply a couple of stitches. Tears at your heart strings it does.
Glad you were able to calm the situation and the frayed emotions, get the proper oversight to your good first aid, and bring snoring Jade home. Hope she will be well with no infection.