Well now i have tried everything - new router and new cables - without success.
I realised today that my older Sony TV, which is connected to the same network, also does media streaming and a quick test showed that it is able to see the WD Mybook and play mp3’s just fine. It starts playing them just a couple of seconds after selecting them.
So… it has to be the new Sony Home Theatre that is at fault here.
I think i now need to take this up with Sony.
Thanks all for you input and advice.
Mike