[doddsy]

if this is appearing below the "search" box in firefox.(default = google search )

right click on the "G" and uncheck "show suggestions"

that'll stop the random suggestions... the only way that i knpw to prevent being prompted with your own search history is to clear the history. ( again from the right click menu )

EDIT - in FF options you can uncheck the "remember what i enter in forms and the search box"

of course if you're not referring to the FF search box then ignore my ramblings.........