I suppose that depends on the reason you're baptizing the baby in the first place. What do you think is being accomplished by this act of baptism?
I just want Roman Catholics to know that ALL babies left, placed or put in their care must be baptized, even one born out of wedlock, or one dropped off, not that I believe in this, but because they need to recognize that believing parents is no guarantee that the child will follow the RCC teachings when older, nor is #2 as listed in the first post a guarantee of anything. Nor are the antithesis of 1 or 2.
The priest needs to understand that they have no legitimate right to not give any 800 or even one a proper burial, especially if the unwed mother is RC and became pregnant.
Francis can really show that he has true compassion. Now, if ever, is his opportunity.