I'm new to this forum, also, but I know the story you are looking for. Both of the plot lines you mentioned are actually in the same story. It's called "The Space Between" and it was written by Tru False. It can be found on fanfiction.net
I don't know how to do links (I fell so stupid, everybody else can do it) but the URL address is http://www.fanfiction.net/s/2320049/1/
I hope this helps or that someone can send you the link.