Second, we have a well established tradition in law and ethics that affords protection to the alive innocent, even if it imposes severe requirements upon someone else (father's are forced to pay child support for infants they have no choice to abort in order to avoid obligation of life support, creating the ridiculous special right of females to use sex for financial support but allowing them to also choose serial killers to terminate an arrangement/obligation).
There is no legal tradition that suggests that a parent can be forced to give up part of their liver for a child, that an individual can be forced to donate blood.
Jarvis Thomson's "famous violinist" argument dates back to 1971, I won't explain all the gory details here, but it is a strong analogy with the right of self-defense.
"A woman can give her newborn child up for adoption for just about any reason." First, you are naive to believe that...Actually, in the USA, 47 states have enacted "safe haven" laws. Generally these laws allow the mother to anonymous "give up" a newborn, less than seven days old, with no legal penalty.
Anyone in the U.S. who wants to get in touch with a safe haven can call 1-877-796-HOPE (1-877-796-4673).
Who is naive?