I'm not necessarily against the school having this data, though it is creepy. But what the heck, her driver's license and proof of home ownership should be good enough. This is really a failing on the school district to apply any logic at all.
What if she owned a business in another area and registered the vehicle there?
What if the parent lived in one place, but the child was living somewhere else?
I ran into a similar problem with my child over a decade ago, his mother had bought a new house that needed work but updated her driver's license too soon. She still had my address on her checks, where she hadn't lived for years, and they randomly used that to launch an investigation. Afterwards they forced my kid to switch school. Which is made even crazier by it being the same district, like the taxes are going to the same spot, and they hadn't even moved in yet.
School districts being their own government is a big problem in general. It seems like the whole point of them is to enforce segregation.