Saving Contact Photos

There are two different Library folders. You are looking in the system wide Library folder at the top-level of your startup drive. You need the Library folder in your user home folder to see your own contact photos.

It may still be hidden. If you do not see your user library in your Home folder, click somewhere on your empty Desktop to bring the Finder forward, then use the key combination ⇧⌘L (Shift-command-L) to open the hidden user library. Then navigate to Library > Application Support > AddressBook > Sources

There are many cryptic items in the subfolders of this folders. Look for JPEG images.

You may want to use the search to find images. Once you have Sources open, enter ⌘F and add a search for "Kind > Image".

You may find some of the Contacts photos in your user library.

Check this folder:

~/Library/Application Support/AddressBook/Sources/

I found many of my contacts images in subfolders with cryptic names, for example; ~/Library/Application Support/AddressBook/Sources/08B69644-7EA4-4DEB-BE37-348963B05C68/Images/FA4D5062-9335-4C72-B7CF-369CE4AC7E52.jpeg

To open this folder you could got o the Finders "Go" menu and use the command "Go to Folder". Paste the path to the folder into the text field.

If the only version of the image is that in the Contact card you're only option is a screenshot of it.

Do you mean the contact sheet layout of photos?

Yes. Continue with the print process and select Print to PDF. You can then export the contact sheet out of the PDF file with Preview as a jpeg.

Where do you get the photo in the first place? If it's from your Photos library the you can add a keyword to the photo in the library to identify it as a Contact image: