You are telling me I need to set the other two on the desktop to Admin?
No. You need to have the laptop's user name on the desktop. It's best practice to only have as many Admin accounts as you need, and to only use it when doing admin tasks. This prevents malicious software or user error from affecting your computer.
Re network path not found
Verify NetBIOS is turned on:
Network Connections -> TCP/IP -> Properties -> Advanced -> WINS -> NetBIOS is on default or enable.
Verify Computer Browser Service is on:
Start -> run -> services.msc -> Computer Browser -> properties -> start and set to auto
Verify Server is on on the desktop. As above with "Server" replacing "Computer Browser"
Did you drag an admin user's folder to the Shared Documents folder or right click on a folder, choose properties, and ask for it to be shared on the network? I doubt this matters, but might.