Why didn't Susan Smith give the father full custody of the 2 kids?

That's the woman that lied about her kids (ages 1 and 3) being kidnapped by a black man when she drowned them herself. I've heard that case before but till this day it's hurtful. She was already cheating on her husband and didn't want the kids. Instead of doing that horrible crime, wasn't the simple solution giving the man full custody of both kids?

I just saw the poor man suffering 30 years later. I'm sure he would've gladly accepted being a single father and divorcing her. If the mother doesn't want the kids and they have a loving father, then give him the kids.

Why didn't Susan Smith give the father full custody of the 2 kids?
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