The Evil GM - Adventurer with... baby?!

I am in the process of gathering up some friends and doing a face to face game of D&D, and I told my friends, think about your character concepts as we will be rolling up characters next time we meet. I also advised them that I want them to work as a group and figure out their back stories, whom they know in the town, family members..etc. I wanted to see if they could form a well rounded group with characters that meant something.

I've gotten a few emails from folks asking about this or what I thought about that, but this morning I receive a rather odd.. well, I won't say odd, maybe kind of interesting concept from my friend Michelle. My friends and listeners of the podcasts I do, know I never say "no" to players, but rather tend to work with them on whatever they want to  make things acceptable to both of us, as well as the group. 

Anyway, let me post the email I got:

Okay, yes you read that correctly, the player wants to have a baby with her while she is out adventuring.

My first thought is okay, that is different, but how will that work? 

I can see that working from a pure roleplaying stand point, but for adventures... I see this said baby causing a lot of problems. The common things I can see causing problems:

• Baby crying

• Baby making sounds while trying to be quiet

• Baby becoming a target during battles

• Baby needs food, can't eat rations

• Baby saving throws, much weaker then a normal adventurer

These are the first thoughts that come to mind when I read the email, I will jot these down and present them when she is telling the group of her idea. If the group is cool with this idea, I am more then willing to roll with this for as long as things allow it.

I think its an interesting concept that the character has a dark secret of why she has this child and maybe, depending on the deity she picks, will frown upon this and not give her those spells she prays for, making her feel guilty until she admits the situation and returns the child to said family.

What would you do? What do you think?