I have three kids. So, I've had this Adware problem twice in the past year. The last time it happened my oldest disengaged Norton and downloaded a browser hijacker (thinking it was something else). Subsequent attempts to get programs to get rid of the bug failed and the virus always regenerated.
So far only one thing has worked: Re-installing the operating system. I hate to discourage you but I think you will arrive at this outcome.
Not necessarily. Some of the nasties also break your internet connection string and if its broken even reinstalling Windows won't fix it. That's why you should use LSPfix software to fix the connection string before reinstalling Windows. The best course is still prevention and having either IE-SpyAd or Qwik-Fix will keep dangerous websites out of bounds. So if a kid disables anti-virus software or a firewall, malicious code can't run because its blocked. Think of it as a condom for the World Wide Web.