Did you fill out the "acknowledgement of paternity" in addition to the form for the birth certificate? If I recall correctly, one is for the mother to fill out but then the dad has to fill out something separate. Though this may only be for unmarried parents.

And FWIW, I gave birth at Magee three times. First, care was horrible. Second, care was amazing (though baby was immediately transferred to children's, so maybe that's why they were so nice?). Third was mediocre, but at that time I guess they figured I was a seasoned pro 😄