Sure...or she would rather sleep in a park then live with them.[Always more to the story]
I know a person exactly like this. She has a few kids but she walks the streets selling stolen newspapers to get buy. No one wants her, and no one can help her.
You had a good mom. If you took in my mom then one day you’d come home to find everything sold off to pay for drugs.
Four adult children? And not one had a spare sofa for Mom?
...
They did. Read the story.
The stores made it very clear that she had dropped out and away from her children. Two of them tried to get her to live with them.
You cannot force someone to do what you want
It sounds like the lady cut off contact with her family.
I remember years ago, there was a woman who moved from Toronto to Vancouver, who chose to live on the streets. She had been wealthy and well educated, but chose to leave everything, disappear, and live on the streets of Vancouver.
Eventually, one of her daughters in Toronto, was finally able to track her down. She visited her mother and she and her husband arranged to get an apartment for the mother in Toronto. The mother would have none of it. The daughter arranged all the paperwork for her to get her CPP and OAS (senior citizens pensions), so she had some income.
Eventually, she compromised and agreed to move into a City of Vancouver rent-subsidised low income bachelor apartment. With the rent subsidy, she could afford it on her CPP and OAS.
In this case, it was mental illness, but not severe enough to have her institutionalised. Disappearances like this, are not uncommon among the elderly.