Where can you get help finding other single retired women who would like to share housing so the could afford a nice apartment

I am a single 65 year old women who has been lucky enough to have a good friend who allows me share her home and pay minimal rent. I would prefer not to be dependent and would like to find another single women my age who is compatiable and would like to look for an apartment together and share it. This way we could have a nice, clean, good housing that we both could afford and company because we don't have family. I have been searching for a number of years to find a way to find such a person. I would like to suggest there could be an older person registry for people looking fo find someone to share housing.
Thank you.
Jane
jnmrrs66@rogers.com