The current Google Earth arial image shows a car parked there. I think it’s the same car, but it’s difficult to be sure. It was apparently not uncommon for the car to be parked there.
I may be making something out of nothing, but if my wife were leaving at 5 AM there are several different ways the Maxima could have been parked which would have made egress much simpler. It could have been angled closer to the street and still clear the fence or it could have been parked on the driveway straight in and closer to the street which would have made things much easier as the driveway with the alley is plenty wide for others to still pull around.
My wife would have killed me if I parked like that and she had to back around. Again, probably not a big issue given all the other inconsistencies.