Door Step Baby/Playing With

Basic Trope: A baby is abandoned by his mother, who is unable to take care of him, and placed on a doorstep for the owners of the house to raise.
 * Straight: Bob's mother leaves him at the doorsteps of his aunt and uncle's home.
 * Exaggerated: Babies are piled on the doorstep, resulting in a Wave of Babies when the door is opened.
 * Justified: The doorstep is a church or orphanage and it is understood in that town that babies left there have been surrendered for adoption.
 * Inverted:
 * Bob is an adult and can no longer take care of his aging mother, so he leaves her on someone's doorstep.
 * Alternately: a mother leaves the baby on her doorstep, in hopes that someone else will take it.
 * Alternatively to that: Someone goes door to door asking for unwanted children.
 * Or: Becky needs help getting pregnant, so she sits herself down on the nearest doorstep and waits.
 * Subverted: Bob's mother leaves him at the doorsteps of his aunt and uncle's home...before they arrive back home, Bob is stolen by a thief.
 * Double Subverted: The thief changes his mind and leaves Bob on another doorstep.
 * Parodied: The kindly parents take the infant in. The next day, a dozen more babies of different species are waiting for them on the doorstep.
 * Deconstructed:
 * The baby dies of exposure.
 * Alternatively, the baby is very sick and malnourished.
 * Alternatively, the owners of the house raise the baby as a Sex Slave.
 * Reconstructed: The baby is reared back to health.
 * The baby escapes the crazed family and finds refuge somewhere else.
 * Zig Zagged: The baby is sick, but is healed, but gets sick again when it isn't on the doorstep, and gets thrown out for being too much of a hassle, whereupon it gets sick again.
 * Averted:
 * The baby is put up for adoption the normal way.
 * Or the mother just keeps the baby.
 * Enforced: "If they just find the baby in the open, they may assume it's just lost. If the baby's on the doorstep, people will understand it was left for them to find."
 * Lampshaded: "Anything on the doorstep this morning? Milk? Newspaper? Baby?"
 * Invoked: The father kidnaps the baby and places him on the doorstep.
 * Defied: The mother abandons the child where she knows it will not be discovered.
 * Discussed: ???
 * Conversed: ???

Please, kind sir, won't you take this child back with you to Door Stop Baby?