Well - its solved! On every occasion in the past, I have not been able
to get the home network computers to talk to each other when the XP
firewall is enabled. I had spent hours trying to crack the problem.
All settings were correct and the names etc were fine; just didn't work.
I decided to have one more try - after reading the responses - and guess
what! Yes, it now works without the slightest hitch.
Thanks for comments.