It seems from Cisco router questions, such as Article No. 16786 on Search that the tech term is "cascading" routers is appropriate for my connecting the two routers and that my connection is LAN to WAN, where as far as I can see the only setup requirement is that the routers' IP addresses be in different ranges to avoid a conflict. So, 192.168.1.254 and 10.0.0.1 would work, as indeed it does. I found this because I was looking up details re the Cisco router of a friend I am visiting tomorrow; I have not found any similar "cascading" info yet from Thomson or Netgear, but imagine this info is not router brand specific. So, another reason for not amending the connection (yet). Saltgrass - this is per your set up trial, but I cannot see where your attached pictures sit in this thread, now that several days have passed they seem to be absent as I review, but I would like to look at them again.
Running out of ideas, to resolve this. When I get back will try simply disconnecting the 120120 network i.e. switching off the 2nd router.
Running out of ideas, to resolve this. When I get back will try simply disconnecting the 120120 network i.e. switching off the 2nd router.