David,

Your situation is handled through a child table. The first normal form states that it is achieved by removing repeating or multivalued attributes to a child table.

In your scenario the Mother is one attribute and the others are children of the mother. You can see that every other field in teh table design is a child of the mother (they all have the same domain definition and therefore are the same attribute - a multivalued attribute).

To normalize this table you would create a table for the children that is related to the mother table and allow one record in the children table for each child of a mother.

Something like this:

            Mother                   Children
            MotherID   PK----\       ChildID   PK
            Mother Name       \----> MotherID  FK to Mother
                                     Child Name