Do you have to be married to adopt? Or are single mothers (RP:d to be married) okay? My Nord wants to bring a couple of kids home to Ulfric

Yes, I know they can't live there, which brings the next question: can kids follow you around, or do they just hang around your house once they're adopted?
(Well, I'm on PS3, so IF we ever get this, it probably will take a couple of years...

But a girl can dream...)