Kudos for keeping such a cool head and helping a stranger. The only thing that comes to my mind from my limited first-aid training is that if someone is unconscious but moveable (eg don't suspect spinal injuries, etc), you should try to put them on their side in the "recovery position" rather than flat on the back. Pointing the face slightly towards the ground helps prevent airway obstruction, like from bodily fluids or the tongue falling back into the throat (which probably wasn't a danger for her since you said she wasn't totally limp).