The family tree is slightly off, but it’s not completely chronological. A 40 year old man might still marry a 25 year old woman and have children with her and the tree would put them on the same line.

Your chronology is correct though.

I think it was an aesthetic choice to make the grandparents symmetrical, but the only relation the Macintosh has to any other prior system is the Lisa, you could say the Lisa was influenced by the Xerox Alto. The Macintosh Project was founded by Jef Raskin and his vision for the Macintosh was entirely different before Jobs essentially pushed him out. A lot of the Lisa influence comes via Bill Atkinson who designed both QuickDraw and the Lisa user interface and worked on both Lisa and Macintosh.

The tree discounts both Copland and Rhapsody as well. While Copland never shipped, much of the tech developed for it did, and while Rhapsody never shipped, Mac OS X Server 1.0 did.

The only relation the Apple II has to any of this is they’re computers.