Thanks Leandra for that information.
In the meantime, the Internet Archive Wayback Machine does have times when it has saved Barry's website. See here though not all of them seem to open up all the databases. One save from 6 Aug 2020 did seem to open up the few that I checked.
Did they move?
You must be looking at some other site. This is the site discussed, and it has not been up for at least a week now.
https://www.familyhistorysa.org/
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The Internet Archive Wayback Machine has some captures of the website, but I'm not sure that all the search boxes are working for all the databases.
Sorry I just checked Melanie's link and they are all there. Thanks Melanie