So I wound up having to manually drag the images into their respective folder, but I keep winding up with Andy

Apologies Dawit Habtemariam! That was for the Eclipse IDE - not Android Studio.

Instead, for Android Studio, try right clicking on your project at the top level (The folder with the project name on) and then pressing Synchronize and see if that makes a difference:

If not, try Cleaning your project. To do this, click on the Build tab and then Clean Project and wait for the Clean to finish:

If you are still having issues, try Invalidating Android Studio's caches. To do this, click on the File tab then Invalidate Caches / Restart and press Invalidate and Restart:

If you are still having issues after that, try running Android Studio as an Administrator by right clicking and then pressing Run as Administrator:

If the above method worked, you should also set Android Studio to Run as Administrator every time you open it. To do this, choose Open File Location then right click on Android Studio and select Properties. Then, under Compatibility, check the checkbox that says Run this program as an administrator and try running Android Studio again:

Finally, if none of the above methods worked, a final method that should work is to do so outside of Android Studio. To do this, right click on the folder you want to copy your files to and then open the folder. After that, copy your files in and they should appear in the Project Explorer:

Note that you may need to repeat Method 1

Hopefully one of these methods will help you out! Let me know how they go!