My little one too went through a sookie la la phase. She would even get a bit scared by other babies if we sat near each other so they could look at each other.
I read about introducing her to others, not sure if that made the difference but now she seems fine. She certainly takes to some people, but not others.
I would sit with some-one untill she was comforatable, then they would take her, but face her to me. Now I can leave the room and she doesn't freak out. Might all just be luck though, who really knows. Keep trying a few different things till either some-thing works, or she out grows it.
DD is 3yr 8 months - DS is 6 months