Yes its tough. My mum would get up every night, start packing into carrier bags usually, and get ready to go home. She would do this during the day as well and I would take her out for a drive and usually for a cup of coffee and cake at a supermarket, this seemed to take her mind off it and calm her down, it was always, "Are we going, come on lets go, I'm ready". On one occasion she got out, went on a bus then got back almost home again when she fell over and was helped by a nice man. I kept the door securely locked after that incident, she didn't really hurt herself luckily enough and thankfully never tried to go out again on her own. I had given her a right telling off and she may have even thought that I was her father or my father at times.
I often wonder how I managed for so many years on my own, the worst part was when she would refuse to get out of the car and just sit there, then she would get aggressive with me. Many times some wonderful nurses at the hospital, knowing what she was like, would come to my car and get her, eventually she would agree to go with the lovely smiling ladies as she called them, and they would say to me, Ray, we'll look after her, go and get a yourself a cup of tea.
I was told that wanting to go home and calling for parents and siblings takes them back to a time when they were children and their life was secure within their family, that they are comforted by these old memories that may seem real to them. She always wanted to go see her mother who has been dead the past 30 years, in fact she thought everyone was still alive from her childhood.
It certainly takes a lot of patience, I think its wonderful that you are able to care for her at home, not easy, and not everyone can do it. I personally would do it all over again if I had to.