I thought I had meant sole head of household is a female of any age, but just in case...
I could go on to qualify myself further--an original two-parent household becoming a single-mother household through divorce, widowhood, separation and mutual hatred, etc.--but that seems to me to fall more under the "dysfunctional parents" catagory.
All the same, a woman, teenage or otherwise, who has a child with no intentions of including the father as a responsible parent (i.e., the "baby daddy") is almost condemning her child to poverty
My mother has been the sole head of the household since I was 12 or so; we haven't had any financial problems because of it. I would agree that it is perhaps detrimental to the child's upbringing not to have a father figure to balance the mother (although it wasn't in my case), but I don't see how there's any correlation between the female being the head of the household and the family having financial troubles.