Currently the Facebook map shows up on on everyone’s public Timeline page. It is possible to remove the map from that location. Understand, this does not delete the map entirely, you still have a map that people can access.
1. Access your full timeline by clicking on your name.
2. If your map does not show up in the first row, you will need to expand the tabs so you can see it. Click on the downward facing carrot.
3. Once you can see your map, hover your mouse over it until you see a little pen.
4. Click on the pen. Then click on Remove from Favorites.
Again, all you have done is taken the map off of your front page. It still exists.