If you happen to have a private email domain for your family (e.g. family.org or something similar) you can use a product called Yammer. It is owned by Microsoft now but is essentially Facebook for corporations. It allows only users who have email addresses that match a company domain to gain access while restricting all others.
So dad@family.org, mom@family.org, etc. can all join and exchange social media posts/pictures, but if you don’t have an email on the approved domain, you can’t join at all.
“Yammer”
We had it at my last company.
The problem was the only ones that used it was people with nothing useful to say.
Also, being international it had too broad a reach to be useful.
For a family it might be good but we don’t own the domain (I don’t think, I have to check with my brothers). Also getting my family on the same page on anything (see what I did there?) was a minor miracle. LOL!
I forgot to thank you for the suggestion.
Yammer is a pretty good idea if you can get everyone to play along.