If you have two parents in the home and two jobs, and can't put food on the table, then how many children do you have?
I see that there are still more unknowns. Why did she choose the man she chose? Why did she decide to have a child? How is "quality time" to be defined, and why doesn't she have what she needs? Where are her relatives? Where is her local community? Why has she not educated herself (assuming she hasn't)? Why are her jobs not sufficient for basic food and clothing?Let's assume a single mother, let he be a nurse for this example, with, hmm, just one kid, school age...She isn't able to be there for her child in the evenings, which is something she would like to be able to do. Time with her family has an economic utility that she is unable to afford. So what determines whether this is poverty or not is whether you believe that parents who cannot afford to spend quality time with their children are missing out, and more importantly whether this lac of affordability places the child into a state of poverty too.
But assuming all these questions have answers that make her ONLY a victim here, and there really is NOTHING more she could do for her child, she might be a case of real poverty, and worthy of the support of others. It's just very hard to know if that's her situation, since you're only imagining it.
Nothing "happened" to it. That's why I said, "one good way to put it." There are certainly other ways.
Poverty is a lack of basic nutrition. Poverty is a lack of money. Poverty is forced ignorance. Poverty is a lack of social status and dignity...these are some of the other ways to put it.
But if you have to sell your child into slavery (and I'm thinking of a real situation here, not an imaginary one) then that's a thing you'll never do until you have a complete lack of options. People do get to that, in the Developing World. Trust me.