"What lies in the shadow of the statue?" I would guess the Bounty Hunter from ROME and her guy are part of Widmore's group, backtracking against Ben. Why they asked that question and what it means, I have no idea. Maybe it's the "Temple" that lies in the shadow of the statue? Maybe a spaceship lies in the shadow of the statue? Maybe she and her posse are part of an entirely new contingent that's just entered the fray?
I still think it's a riddle, and "lies" is actually being used to mean "tell an untruth". As in, you can't tell a lie when you're in the shadow of the statue, or something like that.
Speaking of Widmore....am I to understand that he came to the island with an army contingent? I can't remember. I remember the h-bomb the army brought with them, but it seems that Richard's group was in control of that one, right? So, was that army group killed and their stuff taken by The Others? Was Widmore always an Other, or did he come with the military?
"Jughead" seemed to imply that Richard, Widmore, and Ellie were always with the Others, and not associated with the US military. The US military came to the Island, and the Others fought them off. The Others had military gear of their own, which they might have stolen from the Americans. It's also possible that some of the Americans defected, and were absorbed into the Others, but since Widmore is British, it seems unlikely that he would fall under that category.
What I want to know is, why did the Americans choose that island to conduct their H-bomb test on? Does that imply that they knew about the island beforehand? (And if so, how?) I mean, they wouldn't have just been wandering the seas, and stumbled across it, and then said "Hey, let's test our nuke here." Normally, if you're looking for an island to test a weapon on, you would start out by looking at a map, and picking an island that you actually know about.