...can assist me in my current endeavor.

I've spent two days trying to save my parents computer from the clutches on what is by far the worst bit of, I don't even know what to call it...I suppose its malware.

Backstory:
My mother decided it was cheaper not to renew her anti-virus/firewall subscription and went a year on guarded, I ran several spyware removal programs, malwarebytes, put on a firewall and several other things they needed. Only to discover something call "Internet Security Essentials" was on the computer. Nothing seems able to touch it. I killed the process tree, I went in and found several of its files, an invisible folder, unregistered is .dll, and killed a ton of its registries. Still it persists. Its not running as far as I can tell and every file that seems to be know to be associated with it has been deleted.
I'd like to run AVG but it seem that ISE is blocking it or any antivirus from installing because it lists itself as an antivirus and firewall. I've researched the bastard at length and applied several method of killing it and it won't die.

If any one can assist me I shall reward you.
Google link does not get you shit cause I've gone about 20 pages into several google searches seeking an answer.