MyWebSearch is a toolbar that quite a few third party software developers bundle with their "free" software. It is a search and error page hijacker that can be fairly tricky to remove. Smileycentral.com is probably the largest website pushing this toolbar. This toolbar will quite likely slow the speed of IE web browsing and searching due to the hijackings.
There MIGHT be a built in uninstaller for some people called mywebsearch in your add/remove programs.
Processes (may or may not exist):
Tip: this is only a list of known files/locations. You will want to do a search by the name of the file to see if they're on your system.
A while back I wrote a guide to Register/remove DLL or AX files which you will need if you don't know how to unregister these files.
Each file is in several locations so you'll need to search for them and unregister + delete them in every location you find.
You should be back to normal IF this was your only problem. I suggest you post in our HJT forum since its not likely that this is your only bug. Read this first