I find it helpful to check on the FAQs on a specific site to see if they state any specific rules about copyright or how their materials can and cannot be used or how it should be cited when used. One example is Find A Grave that explains their policies for citing links and or photos.
If I still have doubts, such as for images on any site such as ancestry - sometimes I find it safer to include the 'facts' as you have stated, with the source listed -
and then attach the URL or link directly to the image rather than the image itself.