long-term care options

My grandma has stage 2 Alzheimer's and my grandfather is losing a lot of weight fast but doctors don't know why. They both keep falling and my grandfather recently fell and broke his shoulder. He's lying to the hospital staff, saying his wife can take care of him. They can not afford nursing homes. They are on Medicare, so what's our best options considering their health and financial status? They won't allow strangers in their home.