Wife was in very early stage of Alzheimer's in Oct 2013 when I had a triple bypass surgery.
A stepdaughter came and took her to NC and said when I recovered she would be back,,,HOWEVER now she will not. Another daughter from Georgia in June 2013 told our family Doctor the only food she found in our home was sour milk and eggs total lie...refg/freezer and freezer in basement and kitchen cupboard and cupboard in basement stuffed with food. Previous to this the 4 steps thought highly of me...thankful for the love and care I gave their Mother.
I suspect that if her daughters are caring for her, by now they realize that someone with dementia can provide false information...not intentionally but just because their brain is not working right anymore. They may already know you had food, but their mom was not seeing things clearly.
My loved one, at one point in her dementia, would go next door and tell neighbors she didn't have any food. Of course, it was a lie. She had a fridge and cabinets full of food and I carried her hot meals every day, but she could not remember that. We had to place her in a facility soon after that. She would also disconnect her cable and then call 911 and tell them her tv didn't work. So, you see, the dementia can cause a person to not be able to live alone or to care for another person.