"Hot linking" or displaying an image served up from another server not owned by you, was considered rude and a bandwidth leach in the early days of web development. Some still think that. But we now call it simply "embedding"... And absolutely OK when you are embedding the image from an asset service which you control - which is not necessarily the CMS or web server.
Saving down, and re-serving images or gifs or video causes problems with attribution, see tumblr or pinterest. So get those photos tagged with metadata (in-camera or batch tagging afterwards) and you can then reclaim ownership.
