It’s quite interesting how much Emma takes after her father, David (aka Prince James). In FTL, Prince James is excellent at finding people, most notably, Snow White. He is very fond of saying to her, “I will always find you.” In SB, Emma, is also very capable of finding people. Before she became town sheriff, she made a living finding people as a bale-bonds person. In a conversation between Mary Margaret and Emma in episode 3, they said:
Mary Margaret: That’s an interesting job, finding people. How did you fall into it?
Emma: Looking for people is just what I’ve done as long as I can remember.
Mary Margaret: What made you start? Your parents? Henry told me that you’re, er, were from a similar situation to his own. Did you ever find them?
Emma: Depends who you ask.
Emma is as tough, brave, and resilient in SB as her father, Prince James, was in FTL. Emma will defend Henry in the same way that Prince James defended her as a baby. Emma saved Henry from the mine shaft in episode 5, That Still Small Voice.
I also think that David, Mary Margaret, and Emma will be thrown together a lot more through the mystery of Kathryn’s disappearance. Since Emma will have to investigate both of her parents, it’ll bring them all much closer than we’ve seen thus far. Of course, if Henry has a part in it, he’ll be quick to remind them of how they are family. But also, I think that it’ll take a big reveal for Emma to actually start believing in the truth of the story, hopefully by the end of season one. However, I don’t think Mary Margaret and David will believe until next season. 
"That’s how you know you’ve really got a home. When you leave it, there’s this feeling that you can’t shake. You just miss it." Neal Cassidy