Our district is very strict and the only exception is if the family is moving out of the district no sooner than May 1, they may finish the year up. No outside waivers are ever granted. We are a big district that has just spent a boat load of money expanding our schools, so if you want Johnny to live with Aunt Martha because our district is better than yours, Aunt Martha has to go through the courts to get legal custody papers for the enrollment to go through (and actual event with names changed). And the schools are ever watching for 'transfers' simply for sports participation. And it is not a snobby attitude to not want kids in your schools if the kids don't live there. I want to live in a few neighborhoods in my county, but unless I hit the lottery, it will never happen and I don't begrudge the people who do live there because they worked for their money to live at a means I cannot. I guess I am a snob for not wanting the kids from the bordering district in our schools fraudulently simply because that district is known to be a lower socioeconomic area, not for the fact that I don't pay taxes for those kids to get the education in my district. The woman talked to the OP and made enough comments to the OP for her to infer that she can't afford to live in that neighborhood. It does not make the OP a snob, it is reality.
Fountains...you said she has said she works for the city. Is it the city you live in, or are you a suburb? Because where I live if you are a city employee, you must live in the city. That is something to look at because either way she is lying to someone.