Baby Mama Drama is when a woman gives her babys father trouble, begging for money, saying he can’t see his kids, calling when she need something, won’t work, if she does work she think the father should pay for all the kids expenses. always starting drama, and ghetto to the bone. Do you know any Drama Mamas. Every family has some kind of Baby Mama Drama and to be honest some of the drama is probably warranted because of the father not acting like a father but acting like a Baby Boy. Share your Drama.