I agree as to your premise but I sense a deeper concern.
The young woman was overwhelmed with caring for a child, presumably alone. Her isolation had to be palpable, unmitigated by adult interest or paternal involvement. I can imagine the extremity of her isolation extending even to her child.
A fresh start meant for her the death of her life and that of her child. Her act was a kind of suicide, mitigated only by continuing to breath.
Her awareness of the desperation of her plight notwithstanding this is a lost soul trapped in hell.
Should she be adjudicated? Certainly.
Should we seek to bring the love of Christ to her? With absolute certainty.
While I agree with you, prisons have Chaplains, church services and church outreach programs. God will judge her eternal fate and He does provide an "out", she should pay the piper on earth though, if for no other reason than to serve as a warning to other parents considering doing what she did.
It’s sort of like in “Hansel and Gretel” (in the book), where the hungry parents left the children in the woods to fend for themselves! The mother or stepmother, kept nagging at their dad to leave the children in the woods when he went to cut wood. They took them out so much farther than they’d ever been before; thinking they would get lost and the animals would get them.
Of course, at the end the children do find their way back, (after killing the witch) and find the mom or step-mom had died, and their dad had bitterly regretted leaving them and was overjoyed to see them again! He couldn’t find them and had grieved over his part in the plot. He had not been able to forgive himself for letting his wife talk him into abandoning the children!