It was complete and scanalated,as I read it online.
I believe that it was a Josei manga and obviously there was romance in it.
What I remember is: A women comes into an office? and wants someone to tell her that she is not this missing child. Another man is in the room and believes that she is after that family's money that this missing child belongs to. But he is pressured into helping her find out the truth by the family.
Spoiler (mouse over to view)
SPOILER: It turns out at the end that she is this missing child. Her "mother's" real child died and she abducted (or her boyfriend/husband did) a baby to replace her real child.