Obviously, it was only a symbolic solution on the part of King Solomon. But the symbolic solution prompted action. King Solomon declared the woman willing to surrender her claim to the child in order to save the life of the child to be the true mother. True motherhood is not possessive. The lessons from King Solomon's decision are valid today.
Children are never to be considered a possessions of their parents.
No one has a right to buy or own children. We may have a right to private property and a right to certain basic needs which are necessary in order to live a decent life, such as a right to food, housing, education, and health care. But no one has a right to a child. First, and fundamentally, a child is not a possession or property. Second, children are not to be used by parents to improve their own prospects in life.