I've got a real mess here... Please help!!

I recently found that the folder "Desktop" was somehow located under "Searches". I attempted to move it so that it would be under my name (as I'm listed under "Users". Instead "Desktop" is now at the top of the folders file.
If you go to OS (C then "Users", then pick my name, on the left under "Folders" you will see:
Desktop
My Name
Public
Computer
Network
Control Panel
Recycle Bin
All Photos
Desktop Items (a folder I had created to put stray items in)
and two other folders I created for my desktop

I really see this as a mess and I don't know how to move, rename or fix that "Desktop" folder. I, of course, don't want to lose any of my work.
Thank you for any help.

 

Are you talking about the links on the side when you browse your documents and such?

There's a folder which allows you to edit these, I forgot it's name but it's in one of the subfolders of your personal folder.

Reply (although I don't expect anything back) if you need more info for me.