No Karla they don't...not until it's too late.
I live in Nebraska, where we have become the butt of jokes from daytime shows to ER to Leno.
They had a safe haven law come to pass about depositing children of any age as long as they were minors and not having to worry about abandonment charges. Some woman from Michigan dropped all of her kids off here. Another was a widower with 9 children and he dropped off 8. It was ridiculous. In the short amount of time the law was enacted, to when an emergency session of the state congress re-worded it, was about 3 months....60 some odd children in that time were dropped off.