"without first finding a father that will stick around"
You must tell us where the crystal ball comes from that predicts who these men are. Maybe it's the same one that determines whether a religious person is a threat to society based on his religion.
If he beats her up, but still brings home the paycheck, is that "sticking around"?
If he is in the military or another travelling career and is away for years and years, is that "sticking around"? Plenty of women have raised children alone except for financial support.