Mwsoemon.exe installs with a newer variant of the MyWebSearch spyware program. Generally, a browser helper ojbect called mwsbar.dll will install at the same time.The toolbar does add search features but the search results you see will be hijacked to mywebsearch.com.
MWSOEMON shown on the task manager ( Press Ctrl-Alt-Del ), then try to end the task of the process mwsoemon.
Uninstall Myway MySpeedbar from Control Panel> Add/Remove programs. It might be called 'My Search Bar', 'MyWay Speed Bar' or 'My Web Search Bar', Click 'Remove' for what you find. Also remove 'Fun Web Products Easy Installer' if it is present.
If not you can remove them manually by running Regedit and find MWSOEMON and delete the key.
Restart computer and Find/Delete MWSOEMON.EXE.