No one here is judging you or criticizing you and you are right, things are not the same in many rural counties as they are in the cities.
In the end though, you are the one that has to be able to look at yourself in the mirror so it really only matters that YOU know you are doing all you can do.
I know it's hard, too. With an infant and a 2 year old, alone, with no help at all.
But you can turn this whole situation around and it WON'T be by dropping the child support petition.
Many people HAVE gotten themselves off welfare with nothing but their own blood, sweat and tears but the reality is that there are some people that are generational welfare recipients and they don't WANT to change the cycle their families are in. THOSE are the people that make us angry NOT people like you who legitimately need some help.
If we did not think you were different, or that you had potential, we would not still be posting to you.