Gotta say it, I hate kids. Can't stand most of them, so don't deal with them often & probably won't have them myself, but I wake up to the noise of baby mice & rats, so a screaming kid would get me up & moving pronto.
As for the ferret, I would never recommend having one with a child so young, let alone an only ferret. Two ferrets are quite happy to play between themselves & ignore a lotta other stuff, but lone ferrets get bored & so they get into mischeif a lot more. Another thing, babys that age still have soft bones, but even ferrets with that nasty pair of teeth would still take a few minutes to chew off even two fingers, let alone that many.
Ferrets also won't give a clean bite, not unless it's a warning. They often sink the teeth in & give it a good pull & then chew it, so that kid would've been shrieking loud enough for blood to come out ya ears.