This week's book giveaway is in the Other Languages forum. We're giving away four copies of Functional Reactive Programming and have Stephen Blackheath and Anthony Jones on-line! See this thread for details.
You have to define the tooltip as a child element of the inputText control. Just placing it next to the control won't work. Also (at least in RichFaces 3), tooltips only work on input controls, not on general objects such as panels (although that's not your problem).
An IDE is no substitute for an Intelligent Developer.