I have a terrible staph infection after giving birth just over a month ago, could it have anything to do with giving birth?

Depends... Pregnancy and delivery by itself does not make one at risk of developing a staph infection. Staphylococcus is a very prevalent bacteria that is found on our skin, on door knobs, at the gym, and in hospitals--just to name a few! The best way to prevent a staph infection around the time of pregnancy is good hand and personal hygiene. Make sure doctors and nurses wash well before caring for you.
Sure. What do you mean, specifically, by a "terrible staph infection"? And how do you know it is staph, specifically? Was a culture taken? If so, why was treatment not prescribed? Any infection should be addressed immediately by your doctor; call him or her right away.