So we suspect that Miles is the son of the Dharma doctor showing up in all of the videos, which explains why his nose started bleeding, according to Daniel's theory. So then what is Charlotte's connection to the island? If Faraday is correct, it means that she's spent more time on the island than Miles.

Here's a theory my wife read on another message board today:
I read a theory that the person who is actually trying to get Aaron back and who got the lawyers after Kate is not really Ben. Ben might have just said that to get Kate and Aaron back on the island. It could be Claire's boyfriend. If you remember in season 1 he was an artist and some of the artwork that is in Widmore's office is similar to the artwork that her boyfriend did.