I am not sure the name needs to be the same, but the name of the volume is the label of the mounted volume in the Finder. You can rename the volume in the Finder or name the volume when initializing and/or partitioning the disk.
Make sure the disk is formatted and partitioned correctly before you make the backup, "Mac OS Extended (Journaled)" formatted and "GUID Partition Table" partitioned! If the disk is not GUID partitioned, your MacBookPro will not boot from it.
http://www.shirt-pocket.com/forums/s...2&postcount=16
After making the backup, best test the new disk (boot from it) before you actually swap drives.