Houseshare with another bereaved person?

My beloved partner died last year. I am lonely for him, of course, and know that is something I am having to work on but ultimately I cannot change the situation. But also I am what I call “ common or garden lonely” too. I have plenty of friends and a good social life but basically I hate living on my own.
I wondered if there was such a thing as an accommodation agency or similar for people who have been bereaved and would like to share with another for companionship. I am in my late 60,s and know a lot of older people would not want to share. But some might! I have a house in London and one in Wales and both have self contained accomm within the same house. Although I want to share I would still like my own bathroom! Anyway I thought I would throw the idea out there to see if anyone knows of such an agency/ meet up service. This is not for the purposes of finding another partner but purely for friendship and companionship. I would ideally like to share with another mature female. Any ideas welcome.