LIFELOG is not the full story.
The domain, trademark, and idea for facebook(tm) was started in 1994: https:// web.archive.org/web/20071020073143/http:// www.aboutface.com/about.html
With a very familiar backstory: https:// web.archive.org/web/19991007181610/http:// www.aboutface.com/site/company_history.htm
And even servers at Harvard, who ran these?: https:// web.archive.org/web/20071020073130/http:// www.aboutface.com/about_customers.html
So, this company which sent black boxes to corporations and universities, had “facebook(tm)” servers running facebook like software, at Harvard at the time Zuckerberg “created” fb.
Well, Zuck misconfigured his about-face server once: https:// web.archive.org/web/20171120120522/https:// answers.yahoo.com/question/index?qid=20081105224058AApki9Y