You're looking in the wrong place for 1.2.0 documentation. It's here:
http://jquerymobile.com/demos/1.2.0/You're looking at preliminary documentation for a future version, which will likely be 1.3.0. 1.2.0 does not have a table widget. Did you notice "test" in the URL?
It's a bit confusing because the banner on the demo still says 1.2.0.