I truly feel for the main character but I don't think that her having a child is going to cheer up her world. She's already very fragile, mentally, and she's been binge drinking herself to sleep nightly for however long she's been released from the hospital. The baby's between 3-4 months along so there's a very real possibility that Fetal Alchohol Syndrome is already that child's lot in life.
I dunno, it just kinda feels like MC's going to get kicked again while she's down, repeatedly. ..