Tried your suggestions, and thanks by the way for trying to help.
Unfortunately, killing google crash handler and looking for, and not finding any reference to "plugincontainer.exe" didn't rectify problem.
I've included several screen shots of CCcleaner, and Task Mgr for your review. They only portion of Task Mgr where Google is even referenced, once I completed your suggested tasks, is in Section Tab--Service, where gupdate and gupdatem are stopped, which I assume is opposite to running.
Once I accomplished what you suggested, i.e., killing google crash handler, I launch CCleaner again, then launched GC and found history still intact. Even launched a line item to see if it would go to the appropriate web page and it did just that so the history isn't being deleted.