It seems it needed two files.
MFC71U.dll and MSVCR71.dll.
I found these on another machine and copied them across to the new machine in the c:\windows\syswow64 folder (which is where I found them), but netremote still wouldn't load.
I found I had to run Netremote as administrator for the first time.
If anyone else is having this issue, I've attached the files here:

MSVCR71 & MFC71u.zip

Ron, perhaps something that needs sorting for fresh installs of netremote?

Jon