I need my iWeb content from a time machine backup

I have a 2013 MacBook Air, running OS X 10.9.5. I have restarted a writing/blogging project that would be great to have a previous blog as the depth of content for. I previously blogged with iWeb, and published through .mac, so obviously unable to pull content off the site, as that is no linger published.

I have time machine backups of the old macbook pro that I used for all that work, but am unable to open iWeb, bc it is "from a time machine backup". I have used Find Any File, which finds my domain.sites2 file

But you can see, after my user name, the rest of the folders just aren't there/visible. How do I get to them?

Or is this the wrong approach?

Thanks so much for any help you can give! Angela