OK.
BobL: L.P.Recorder is/was a freeware/bundled program and is very simple, so even I could use it. I'm unaware of any alternative stuff in it, but as it seemed bulletproof I had never tried to find it. I have burned quite a lot of LPs with it, though.
HOWEVER.....
I decided to move the files to the laptop, so dragged them onto a thumb drive.
Then I thought....? Why not try burning in the desktop from the thumbdrive. So I did, dragged from the TDrive into Media Player.,,,and it burned!!!

So, Guest and DaveRo, it went onto the same blank disk in the same computer. However, I have been messing about with updates, so maybe there was the problem.
I'm listening to it now, played on a GhettoBlaster, and it is very much OK. So thank you all for your help. Chris.