Well, I guess I found the main problem. I thought I had Lars' usbhcd197.zip driver on that machine. After double (tripple) checking, I found that it actually had USB-eCS-11.06.wpi installed. I put usbhcd197.zip on it, and WEBLOOK/WEBView has been running with no trouble for almost half an hour. 
Well, Doug, that is a relief!

Thank you for all your testing effort.
WEBLOOK/WEBVIEW ran without a problem, for more than an hour. It did, eventually, freeze.
Nice.

Now it is working for you with 2 CPU's the same as it is working here for me with 1 CPU.
So I can safely remove the mpunsafe marking of WEBLOOK then.
One thing that does work (with the known problems), is to look at the WEBLOOK output, using a second machine on my network. The command that I used was:
Webview.exe /a192.168.0.107 /p14225
(the address is the machine running WEBLOOK). I suspect that this will be limited to my local network, because of firewall rules that my ISP uses.
I had to open port 14225 in my adsl modem/router to let it work over the internet. There is no security at all though!
Note that you may start WEBVIEW more than once. Even on different machines.