Free Look Camera Pivot

I’m trying to make a 3D platformer game from a kind of 2D perspective with the camera. So I’m trying to lock the camera in a side view, and follow the character.
However When I use the free look camera provided in Unity 5 the mouse can still control the camera’s pivot. If I delete the pivot on the prefab the camera performs how I would like, However it sits upon the terrain, and doesn’t hover.
How can I fix this?

You could just focus a camera on your player and then make it a child of the player, it will follow the player and have locked rotation.