The big-ticket items I don't trust you're considering:
* Child care will cost between $1000-$2000/month.
* Commute will add $300-$500; parking $500-$900 (plus car payments --- $250-$400, plus car upkeep --- $100, plus gas, $150).
I know that people do live on $50k/yr, even near major metro areas. But I also know that 3 fillings at a dentist for my 7 year old cost over $1000, so I don't know how people do it on 50k/yr. I don't know, but I am pretty sure, that it isn't comfortable.