Perhaps she could find some junior high girls (ages around 11-12) who would like to come over after school to play with her daughter. At that age, they love babies and don't expect to paid very much. My daughter lives in an apartment complex and she had 2 neighbor girls come over often to play with her daughter. No pay required. They loved it.
She might be able to find thise girls in the neighborhood. Perhaps her parents know some of their neighbors who would know of children. She could ask at churches or even perhaps the school.
This would not be as satisfactory as full time help but could help a little.
If the parents are church or other group members they may be able to ask for some volunteer support for their daughter.
She is probably eligible for home nurse visits thru DHS. The visiting nurse may have other ideas.
I hope that she can find some help. Staying consistently in bed would be impossible with a toddler. Years and years ago my mother was confined to bed after the birth of my youngest brother. A neighbor watched my toddler brother until I got home from school. I doubt that my parents were able to pay her much. Eventually church friends took care of me while my brothers went to live with an aunt and uncle. Even tho being separated isn't the ideal, sometimes it's all that's possible.
Perhaps the parents could help pay for daycare.
Some suggestions for physical space would be to place mom's bed directly on floor so the little one could climb up on it, to have a small refrigerator and box of prepared food next to bed, allow more use of TV and videos than one might ordinarily want to use. Also rotate toys so that little one has variety. And definately prevent baby's access to any other part of basement.
If I were her, even tho I didn't feel well, I'd cultivate some new friends; perhaps thru her parents, the Internet, or neighborhood sites that provide supplies for crafts.
Use a cell phone, on which you don't pay long distance charges, to talk with old friends in other parts of the country.
I wonder if there might be an organization that provides support for housebound people. I know that she can order books from the library on the Internet and have them delivered by mail.
I know all of this is difficult. My heart goes out to her. If I lived near her I'd visit and help as much as I could. Wouldn't be much but every bit does help. I think there will be other people in her city who would do that if they knew that she needed it. I just don't know how to get the word out except thru church and other organizations.