actually 'fl_geo_mapping' table is related to Location Finder plugin and used for refining your location on the map when it's not precise via Plugins > Location Finder
and when you go to add-listing form your location is displayed in the 'right' place of the map (when detected or selected)
but it doesn't allow to change location names

if you have problems with detecting your location on the map or your edited location has no effect on the map create a ticket regarding this problem