The Shrine School is in 38118. I believe that a bus is available to pick up all children who attend Shrine, so it is not essential to live in that zip code.
Your best bet would be to contact Memphis City Schools directly. The link for Memphis City Schools is http://www.mcsk12.net.
I'm a former Memphis City School teacher so feel free to contact me with any questions you might have.
Here's the link to Memphis City Schools website http://www.mcsk12.net/ copy and paste this in your browser address bar. Call the SUPERINTENDENT and get an explanation of school districts for the schools you have mentioned.