My only insight would be that you really need to be careful in the second job decision. It will take time away from family togetherness, and might seem to be counterproductive as far as the whole reason you are working. Have you considered child care or waiting until child is in school or preschool? It sounds like you are wanting the child to be with one of you at all times, and I am not against that at all. I don't know if you have any opportunities to work from home or would be interested in anything like that, also do you have any family members who you would trust to babysit. I know there are many reasons why that might not be possible, but just trying to suggest some options.
Another idea, and I don't know if it would apply to your situation or not, but some people try to find ways to cut expenses rather than taking a second job... it might mean eating differently, not having new clothes, etc... It all depends on how you value your time. One example is that someone I knew ordered a large pizza every Friday at $25... when they reallized that was about 4 hours pay at the second job, they decided to stay home and eat spaghetti to have more time with family. They are happy with their decision because of the costs differences for them as they found the second job added a lot of extra expenses such as gas..., but it will need to be a conscious decision for each family.