Order
Alice is mostly fine, but both arms are fairly well scratched up from flying brick, and she probably got tiny bits of rock stuck in some of those scratches. She would have helped the nearest person (whoever that might have been... James and Lily?) get to Dig's.
She was being all calm and reassuring for Lily's sake, helping her get through labor, and would have insisted one of the Healers make sure her baby was fine before tending to her external injuries.
And (if it's all right with Lily) she probably watched over baby Harry while everyone else was being tended to.