Yeah, we got both. It's actually kind of funny because there are no other (outside) people living with us. So it's like, what is there to run/hide from?
The one who runs away runs in the middle of the night and takes off driving most of the time because walking sends her into flashbacks.
Thankfully, it's usually the middle of the night, and someone'll watch and take us back so we're back in time for normal life.
Most everyone is starting to learn now that we don't have to pretend we don't exist anymore, but up until pretty lately, most everyone did the whole 'pretend we don't exist' bit. 'Course, we still got a couple who get freaked out and turn everything off.
But the one who hides staked out all the hiding spaces in our new apartment, first thing.

Basically, somebody else in our system thinks that she didn't feel safe. They figure she was stuck in a flashback or something.
Somebody else in our system made a thread about this alter:
http://www.psychforums.com/dissociative-identity/topic106582.html