It appears that I've done everything that is supposed to work.

Since UCxx scan recognizes and identifies the AXBB-E unit. The computer IP of 10.10.10.10 sub 255.255.255.0 and crossover network cable plugged directly into the LAN port on computer appears to be communicating correctly.

The licence (which I did download, copy and pasted to UCCNC. It is in text ) is showing up on the UCCNC "local disk" which as far as I can tell is where it should be to be recognized. All the other UCCNC folders from the download are showing up there too.

I'll do some more analysis of that today. If I can't find anything apparently wrong with what I've done I'll uninstall UCCNC and go through the process again.
It seems the licence issue is all I need to sort on this computer to get everything working correctly.
Once that is done I will just need to persuade my laptop to change its IP and I'll be set to carry on with wiring the CNC machine.
I will check with the vendor that the licence key is meant to be in text ( The download is identified as - UCCNClicense_CAOED1.txt )

Thanks again. I will post progress as there are other threads from those who have also had similar problems.

I feel that the AXBB-E and UCCNC software are an excellent choice once installed and working, so worth persisting with.