Have you suggested that you can care for her son while she attends classes and studies...maybe during the week and then she can take him on the weekends?
Have you discussed this with her? Maybe discussing what she knows about the boys father. His lifestyle. Is he in another relationship with other children? How often will she see her son? Does the father even know the plans she has for him to take the boy? Has he agreed to this? Does he have a family network he can count on to help him care for his son?
Then again, not to sound too harsh, but if she's willing to send her son off to another state while she attends school (who knows how long that will be....two years, four years, beauty school????) then maybe he might be better off with someone that at least acts like they want him.
Maybe discuss with her the message she's sending her son that she's not willing to make the sacrafices she should make as a mother to care for him and get her education to better care for him......instead she's just going to ship him off to his father like her son is a burden and now it's someone elses turn to shoulder the burden.
She will have to be careful that he doesn't get the wrong message about his mother's actions and then grow to feel unwanted, unloved, and a child to be disliked. Many children get ideas in their heads that they aren't wanted or caused their parents problems. I would hate for him to grow up thinking his mother didn't love him.
I'm not sure she's thinking about her son and his needs and wants, but only her own desires and stress.
I'm thinking that my own mother would have gone through much to care for me and my brothers while bettering herself to eventually care for us better and better.
My grandmother cared for four kids after her husband was killed. She had four kids ranging in age from 1 year to about 7 years old. That was in the 50's. She could have put them up for adoption. She could have given them to different family members (which was common in those days if there was no father). She worked the night shift and got home in time to get just a few hours sleep. Now it's not entirely the same situation, but the point I'm trying to make is that my mother loved and appreciated her own mother deeply because of the sacrafices that my grandmother endured to care for her and her siblings. They had great love and respect for their mother until her death. They knew how she felt about them because she was never willing to give-up or give them away to make her own life easier. She did whatever it took to care for them and keep the family together.
I'm wondering what kind of memories she wants her own son to have....with some help she can set the example for her son and show him what it feels like to have a momma that will go the extra mile for him.