Take a closer look in the Relationships tab under edit profile: The parents of a child is a pull-down menu where you easily can move a child to another nearby pair. It is easiest to do this in tree view since you get a visual feedback when done.
The requirement is of course that this pair already are in the tree (add a temporary unknown spouse if one of the new parents is not known)
Over longer distances you might move in several steps.
Private
You(?) have given Christine three parents which will create a Tree Conflict, it looks like a litte yellow street sign with an ! when you look at her profile in the family tree. Click on that ! and when the next screen comes up at the bottom select Assign Parents then just follow the prompts to make ? Peterson her only father.
Once you have done that you can click on Laura's profile in Tree view and select Move. This will create a second floating profile for Laura. Navigate through the tree until you get to ? Peterson's profile and then drop Laura's profile on top of his. A menu will pop up with several relationship options, select She is his Daughter (or words to that affect). Laura will now have two fathers and you will need to resolve this conflict the same way as described for Christine.