correct. I don't know if that's considered the property of the house directly across the street, or of the elementary school on the other side of the fence. Or if that's on a case by case basis and I need to see if the city has a GIS web site that would show the property lines.
Edit: I just reread this and it's kind of unclear. What I meant was, I don't know if the little slice of sidewalk and hillside across the street from any given house is part of that house's lot, or if it is property of the elementary school. As in, is my landlady technically responsible for maintaining a clear sidewalk across the street? She doesn't think so and it wouldn't make sense, but lots of things in life don't make sense.
My old house in California was on a dead end dirt road. We were privately owned property/street. Our deed showed we owned the road and the strip of land across from it (~10’ wide until the neighbors fence line).
Then we were annexed into city proper, the city now owned the street, and the property across from us.
The never came and cleaned the property, I suppose because each homeowner was doing it already.
I say that, because something similar sounds like what is going on there. A strip of land from the street to a fence line with no clear owner.
Easiest (?) thing I’d do is have the landlady pull her deed and see the property description. If it does not include that strip, it’s most likely the schools property, with the fence line set back from the street due to the hill.
Either way, good on you for wanting to make your neighborhood a neighborhood and not just a “place”.
Good luck!