Finally after years of trying to remove it i stumble onto the fix by looking in a place most people never see let alone just look at for no reason...

heres a repost of something when i still didnt remember this existed with minor modifications of course

oh my gosh it was that simple? all along i only had to do that...
today is a good day... I Finally Fixed the "mywebsearch" problem that has been plaguing us for Years.
We uninstalled my web search removed all of its files and it still didn't go away... but today after just looking around firefox's configuration(not recommended for people who don't have a clue what they're doing) i found a simple name for a setting that kinda sounded like the problem. it had "keyword" in the name(and i thought back to AOL and keyword was a word that you type into the address bar that sent you to a website and then i thought maybe this could fix the problem we have with mywebsearch searching "google" if you type it in.)       and my suspicions were heightened even more when I saw mywebsearch in the string attached to the setting. so being the experimental type that i am i thought what if i type into that string a google search address up to the point where the search terms are...

and lo and behold it worked! now when I type "facebook" into the awesome bar it searches Facebook on google not my web search.
as a side note i bet that the IE one is somewhere hidden in internet explorers registry.
today was a good day.