Hello and welcome
Hello, Dragon Daughter, and welcome to TP. I hope you find some help, advice, and support here. Remember that it's always open.
I am sorry to hear about the situation with your mother and please let me assure you that you are not alone. I know it doesn't do any practical good, but it can be very comforting to learn that others are, and have been, in your situation. Caring for someone with dementia is very challenging and sometimes, you just need to talk to others who have also dealt with dementia and understand what you're experiencing. There is plenty of that here on TP.
If your mum needs more care than she can get in her current location, and/or she is no longer safe to be left alone, and/or she is too distressed to be alone, and/or she is some distance from you, those are all very good reasons to consider a move. Are you looking at a move to a care home, sheltered housing, one of your homes, or some other type of situation?
I am sorry to be blunt, but the answer to "how do we persuade her?" is, you don't. Not if what you mean is, how do we have a reasoned, logical conversation where she understands fully and agrees to do what is best for her? because with dementia, that is not going to happen. There may well be days or moments when someone is more lucid but, especially combined with the memory loss, the ability to reason is just not functional.
This is not to say that you cannot move your mum, just that you may not be able to accomplish it in the way you would like. And if she is not safe where she is currently living, then you will have to make other arrangements.
Do you have support from her GP? What sort of care package do you have in place, and can that be increased until you figure out what is next for your mother?
Again, I'm sorry to be so direct but you can tear yourself apart trying to reason with dementia. The memory loss makes things much more difficult, as I know only too well (my mother, age 73, has Alzheimer's type dementia and severe short-term memory loss). There is some good information from the Alzheimer's Society about communication which may be helpful:
https://www.alzheimers.org.uk/site/scripts/documents_info.php?documentID=84 (lots of good info on their website; have a look)
This might also help:
http://www.ocagingservicescollabora...te-Communication-with-the-Memory-Impaired.pdf
You also mention that your mother is having delusions (the thieves coming and taking or leaving things from her house). A delusion is a false, fixed belief and is commonly seen with different types of dementia. You cannot argue or reason with a delusion, and doing so can cause agitation, so don't even try. If the delusion isn't distressing, you might not discuss it at all, just say, "I see," and move on conversationally. If it is upsetting, or brought up again, you might try:
1) acknowledge what they are saying and especially how they feel
2) reassurance
3) distraction
So, if your mother is upset and says, the thieves were here again in the night and took my clothes, you might say, Goodness, Mum, I'm sorry to hear that about your clothes. That's terrible. I'm sorry you are upset. Let me look into that for you and I will let you know what I find out. Do you know, I'm thirsty, how about a cup of tea?
I'm not saying this works every time, but sometimes. It's also not a bad idea to ask the GP for a review of medications to make sure there isn't something that could be contributing to the delusions, especially if they are upsetting or preventing your mum from sleeping, et cetera. Some of this might be helpful:
https://www.alzheimers.org.uk/site/scripts/documents_info.php?documentID=159
The Alzheimer's Society and Age UK are good resources and you shouldn't hesitate to call.
I also want to say that if and when the time comes to consider a care home, whether for respite care or permanently, please try to remember that it could work out. The move to the care home was the best thing that could have happened to my mother, who was unsafe and unhappy living alone in her home (small home in an urban area but miserable nonetheless). I had to wait for the crisis (she was found wandering in the cold, no coat, injured, disoriented, and hallucinating and was then sectioned). It's great that you already have the PoA sorted and perhaps you will be able to take the time to make the best possible arrangements, and prevent a crisis from happening.
I'm sorry as my response is all over the place. I am sure others will be along to offer advice. Apologies for any distress or upset I may have caused you.
Best wishes to you and your family.