I am a giant nerd, so when I read this, I went looking at OotP and while I don't think it's the complete 8 generations (the tree is huge, people), it still has more information than the original tree.

"We needed to visualise Sirius Black's family tree, so we told Jo. And she said 'I understand.' Fifteen minutes later a fax came through with the entire Black family tree which had the family crest, their motto, with eight generations of Blacks with all their names."

Notes:

• All you can see of one name is the last three letters, which are "noa"
• One name is refered to as Regulus but I can't confirm it because it's too blurry.
• Some faces are skulls, which I have no idea of the significance. It may signify they were murdered, which is all I can think of as it seemingly has nothing to do with age of death.
• Lighter names have been blasted off the tree
• Seems that Cygnus (husband of Ella Max) had his son Sirius (brother of Phineas Nigellus) at only 16, so perhaps Pollux having Walburga had 13 was not all that shocking.
• Dates for the new additions from the earlier tree look by my eye to be:
• Cygnus (husband of Ella Max) was born in 1829.
• Arcturus (brother of the above) was 1825 to 1893.
• "Noa" Blishwick had a long life for a Black, with 1826-1926. Upon looking up names for mythology and constellations, I only found two used names in Vivinoa and Tinoa, though it could be something completely different.
• Eduardus Limette seems to be 1787-1839, which makes me wonder if it was a post-death blasting off for him as Sirius has no dates.
• Alexia Walkin and "Regulus" have no discernable dates, so this is based on their positions alone.