I repacked both sides of the hub.

Thanks for all the useful replies and information. Okay, I'll work on it some more.

By "play in the bearings"...do you mean I should be able to move the axle when it is inserted? Wiggle the wheel/rim side to side when put back into the frame before closing QR? Or, simply that I should be able to wiggle the QR when inserted, prior to putting it into the dropouts?

My drive side/cassette side just has the bearing race, two spacers, and a lock nut. The non-drive side has the bearing race, plus a cone, spacer, lock nut. Is this typical for Shimano rear hubs? It just seems like adjustment would be easier with a cone on each side.

From what you wrote, sch, it seems like this is the case...I'm working with a cone on one side, and the lock nut on the other.

Again, thanks for all the information and useful replies. I'm going to check out Sheldon and PT for more reading.