How did you move the MobyLinuxVM? I wouldn’t expect it to work if you use the Hyper-V application.
The ability to move is fairly new in the Docker for Windows beta channel: https://docs.docker.com/docker-for-windows/release-notes/#/beta-33-release-notes-2016-12-15-1130-rc3-beta33 …
I don’t have another drive to test with, but moving using the new Docker for Windows GUI option works for me on beta34 with Win10. Does that work for you?
After moving it updates my %APPDATA%\Docker\settings.json with a "MobyVhdPathOverride":"C:\\Users\\Public\\Documents\\Hyper-V\\New folder\\MobyLinuxVM.vhdx" setting. Note the New Folder in there