How do you find a "group" home for an elderly person?

Since they are licensed by the state, your state may have a web site with information on capacity, inspections, etc.

I did a Google search on California board and care regulations (it autofilled regulations) and followed a few links to find one for my state:

Your profile doesn't show where you live but you can also call your local Area Agency on Aging or your state Dept of Aging.

Look up Board and Care facilities in your area online. There are often more than a few. My experience in the past with them was very good to excellent, and while things have seemed to move more toward Assisted Living Facilities and Nursing Homes due to regulations and the difficulty in managing a Board and Care, I think they are perfect for some elders, and often less in cost. They often have only four or five rooms with five to 7 residents. Dependent on the condition of the resident they can be quite homey and quite nice. Visit more than one. Good luck. Some towns have people who make a living taking you around to facilities that give care. A Place For Mom is one you may see advertised. I am uncertain if they have a lot of Board and Cares registered, but it is worth asking if they do. The cost goes to the facility you choose; you don't pay. They will ask for assets, and condition of the elder to better match you with choices. They worked just great when my brother had to get a partner into care. Good luck to you.