4n6doc is completely spot on (as the Brits say). I have experienced this same scenario and read elsewhere on these discussion boards confirmation of this faulty wall charger.
I took it into Apple and had a Genius test it. They saw the problem occur intermittently and without further question, replaced it with a new unit and the problems have gone away.
I will say this though, the full charge glow and the plug symbol in the charging indicator still only comes up for me when I plug it into my MacBook Pro. I think that it is still a glitch, because I have done full cycle and "top-off" charging on the cradle with the wall charger leaving a slight sliver on the battery, and as soon as I change it over and plug it into the USB port, voila! full glow and plug.
Go get your new wall charger exchanged.