"And I don't know why you brought up carbon dating since it was never used to date fossils. The method itself is still in widespread use in archaeology and work on refining it continues - especially for ages in the range 11,000 - 50,000 years bp (before present). "
Since carbon dating is or was used, it has been a way of measuring the life, life span of our earth, chronologically speaking. Certainly fossils will come into it, they are a great portion of, and undoubtedly an exciting part of both geological & archealogical discoveries every day. As you youself indicate, they are constantly refining their measurements, perspectives. What was in their eyes 60 million five years ago may now have become 60 thousand. Yes, they are refining it.