I seem to have solved my difficulty by instituting three restrictions.
Control Panel/Administrative Tools/Services
(1) disable: Background Intelligent Transfer Services
(2) set on manual: Windows Update
In spite of setting Control Panel/Windows Update/Change Settings to
Never Check for Updates
Windows seemed to be doing something without the two services set as above.
Adobe Reader was set, by default, under Preferences/Category Updater to Automatically download updates, without installing them.
(3) I changed that to Do Not
The following story isn't over yet, but while a friend who recently got cable broadband was happy, things did not seem quite right to me. I got him to run this Linux based check last night
Avira AntiVir Rescue System - Download
and it reported a half dozen different Trojans and something from Kazza, none of which were identified by the other security tools he has. The run was set up just to list the problems rather than to do anything about them, but that is a separate option.
He is rather clueless so I hope to be able to look at his results soon, and probably have the program remove what it found. Then I want to install and run the freeware version of Malwarebytes to look for more offenders
Malwarebytes : Free anti-malware, anti-virus and spyware removal download