I think it is very sweet and honorable that you want to stay at home with your child and still try to help out with financial situations. Abigail has some great suggestions. :0)
What are some good work from home jobs for a stay at home mom?
You're already home with a child, so babysitting can be a great one. Starting your own in home "business", like selling things you make in your free time on etsy or to people in your neighborhood. Event planning, if you and the client don't mind the child/children being there.
There's tons of options, sometimes you just have to get creative with it.