ORD designates which images can be shared. The share button does not appear at the bottom of the gallery for images that ORD has excluded from sharing automatically. If you would like to share any image online, you can, but you would need to download it first and then upload it where you plan to share it.
In general, PRINT files are not able to be shared via Facebook, Twitter, or My Oil Site. They must be downloaded or emailed. Also know that some emails have limitations on size, so if you email print files or a large number of images at once, it may not ever be delivered :).