Check the contents of /etc/fstab to see if the mount points are hard-coded in there. If so, modify the mount points of your partitions (the /media/xx...a and /media/xx...b columns) in /etc/fstab. You will need to create the directories yourself otherwise the mount will fail (if you're using the command line program "mount"). I don't know whether GUI tools (e.g. nautilus and dolphin) honour the contents of /etc/fstab when mounting drives.
Make a backup of /etc/fstab (cp /etc/fstab $HOME/fstab.bak) BEFORE you make any changes to fstab so if you break something, you can easily fix it.