Geneology of the Bible establishes that the earth is in the vicinity of 8 to 10 thousand years old.
Not literally of course. Numbers in the bible are explained. To God one day is like a thousand years. And visa versa.
Actually, if the geneologies in the Bible establish anything at all, it would be that man has been present on the earth for 8 to 10 thousand years.
There is considerable debate on how long the five "days" of creation that went on before that actually lasted. For instance, how long was the night before God said "Let there be light."? The Bible says that there was evening, and there was morning, one day. So, do you think that He started time exactly 12 hours before He created light?
The Ol' Archbishop was wrong, eh?