Dementia/Alzheimer's---Any options available for homecare (USA)? (Details follow)

I am writing to ask anyone (who lives in the USA) if they are familiar with dementia/Alzheimer’s and what options there are if you want to care for someone at home. We have a relative who is 88 years old, and losing her memory (probably more age-related honestly). She currently is staying in a not-so-nice (though not appalling) nursing facility. My nephew wants to take her in, but doesn’t know how he could afford to care for her (he has a full time job) but his wife (who is unemployed at the moment) says that if they could get some sort of help (physical help with things that she could not do…and also relief care ) they both might be able to do the job. They are a lovely young couple. Their greatest fear is that they might take her out of the facility and then realize that they have taken on more than they anticipated and they have a fear that no one else in the family will pitch in with help and/or the fear that they might not be able to find carers for relief. (I know these are problems that all people with elderly parents/relatives face. My parents were solvent enough that they were able to find the best care possible and never went without, thankfully. But not everyone is that fortunate.)

She does not have full-blown Alzheimer’s and has a lot of lucidity still. We both feel that living in those conditions is simply contributing to her demise, not solving them and that she has a right after caring for so many people to live her last days in dignity. For example, there isn’t a garden for her to sit in and she was an avid gardener. They don’t have any sort of outings or any stimulation…no arts, no music. It’s really sad. She was put in there by another relative. Once again, it is just a matter of finances and finding the right care. I wish there was a way for her to live out her days with family in a proper home…is that even possible when one doesn’t have savings/money? I am willing to help, but I know that my contribution would never cover possible full expenses. Which is why I am asking if there are other funds/options, supplements for people in situations like these.

I am not familiar with the system in America. If she has no income (and no savings, etc) does the government have any sort of homecare stipend? Or any programs to help people in this situation and members of their families who don’t want to institutionalize them?

I welcome any ideas/options…as not having ever had to deal with this…and living over here…I wasn’t sure what goes on in the USA.

Thank you for your time in answering this. I hope someone can share their ideas and/or experiences.