I think whether the baby lives or dies, it will cause problems.
If the child dies and becomes infected, then Lori will be killed, and she will rise as a zombie and kill whoever was nearby or tending to her. (Some one like Carol, or Beth or Maggie)
If the child lives, they will have to gather even more supplies, putting the group even more at risk. Not to mention the crying, especially if the baby has colic.
Either way, the baby will F them over.