You don't need to update drivers just to swap a CPU. Make sure the new one is supported by the motherboard.
If I remember right, there were a couple different CPU core types (Palomino, Throughbred, Barton, and Thorton) which were sometimes sold with the same "xxxx" speed rating. (Not all 2100s, 2700s, etc., would be the same chip.) So you will want to check your motherboard's manual and verify that it's compatible with whatever chip you're installing.
Also, with hardware that old, it's entirely possible you just have a few dead chips. Bent pins account for most of them. RIP.