The vast majority are owned by the City, County or State. There may be some in subdivisions that are owned by the homeowner's association. These would be treated like other private property.Are city parks considered state or government owned? I have only seen one with a CCW not permitted sign. I know they maintained and patrolled by the city.
Also one has a couple of ball fields on it. Where kids play softball.
These are NOT attached to a school. These are in neighborhoods.
In all cases, it is not unlawful to conceal carry (provided you have a CWFL).