It would not grow by much - if at all. The fact is other things contribute to welfare, a child is not the actual cause.
1) Illogical drug policies that break up families over non violent crimes - imprisoning entrepreneurs in a free (unregulated) market.
2) The fact the abortion programs exist at all inevitabely lead to them being an option in the minds of those who 'risk pregnancy' with unprotected sex.
3) The welfare programs itseif exist. If you do not support people using the programs, eliminate the programs.
However welfare is small in comparison to other programs. NOT TO MAKE EXCUSES FOR WELFARE, but there are other areas that could be cut to save much more, and cause less distress in the lives of those who directly benefit. Of corse, when welfare was the most expensive waste, the next in line, it should also be eliminated.
Annual costs:
$40,000 Million = Welfare
$150,000 Million = The 'war on drugs'
$160,000 Million = Govt retirement funds
$600,000 Million = Medicare
$1,000,000 Million = 800 Military bases across the world
$3,500,000 Million = Totaled STATE government costs
$4,000,000 Million = FEDERAL government costs