Yes, that's it! Thank you!

Would it be Evolution by Stephen Baxter?
Stephen Baxter

This is a sci-fi book that I read many years ago that involves evolution from the Morganucodon to the modern age of humans. The story follows, what I think, is the consciousness of this one particular mammal through time. It escapes predators early on and evolves to other types of mammals to early man in the hunter/gatherer phase to agriculture to the building of civilization.

I was at the Smithsonian in DC over the weekend and saw an exhibit featuring the Morganucodon. Now, it's bugging me to remember this book.

Thanks for any help!

Tim