Grandmother isn’t a US Citizen and her green card just expired. Any advice?

My grandmother lives with my aunt (her daughter) and I. My grandmother isn’t a US citizen and her green card just expired. She has been struggling with severe dementia for a long time now. Her ability to move and take care of herself is gone. She can’t use the bathroom by herself and frequently falls when she is helped because she cannot support her own weight and holding her up is nearly impossible. We have had to bring the fire department in if another man isn’t around because we are unable to lift her when she falls. She has frequent diarrhea as well and often refuses to eat. She is often completely incontinent and frequently soils her clothing. It is a really bad situation but we do not know how to get help. We found one home care worker who helps out three times a week but it’s not enough. Her not being a citizen seems to rule out any nursing home option or additional help. I don’t know what to do or how to get help. It has become nearly impossible to even get her in and out of bed. Sometimes she simply refuses to get into bed or use the bathroom and it is often difficult just to change her in bed. In hindsight we should have sent her back to her home country where she could have gotten help before things got so bad, but now it would be impossible to get her on a plane. My aunt is completely emotionally burned out and my own health issues are making matters worse. It is truly a dire situation.