Most probably you have moved files not to a real network share as you planned, but to a directory on a local disk which is interpreted by system as a link to a network share).
See the screenshots to see the difference between real network share and the shortcut:
Real network share: Window with real network share along with the properties of the share.
Shortcut to a network share: Window shows how the shortcut to a network share look like. Note the different property sheet window when compared to a one from real network share.
Directory with the shortcut: And here's the real location for the shortcut.
What you see in the third screenshot is the location containing directory acting as shortcut, which in turn contains some files (at least physically on disk, because if you use Windows explorer to enter inside, you will be redirected to the location the link points to). See the contents of the local directory for such shortcut:
Shortcut directory contents: Screenshot with the real contents of the directory acting as a network share link. Note the ABCdefTest.txt file that has been accidentially moved here.
Now, how to get those file back?
There are at least two possibilities: