The free market is better at figuring out fairness than a central government. Supply and demand, by its nature, determines what is fair to be paid. If it wasn't fair, people wouldn't work the job. If it was more than fair, then more people would enter the job pool, which will cause an equilibrium market rate to be obtained.
Unfortunately, the central government gets itself into market regulation constantly and distorts the free market.
Poverty doesn't force people into single motherhood.