Your user id on new laptop probably doesn't have permission to see the folders.
A user 'blatherskate' on machine 1 is very different from a user 'blatherskate' on machine 2. If the permissions were not 'public' on the old laptop, the user on the new one won't see the files even if the user names are the same.
To fix this, either:
- connect the drive to the old laptop and change the security so that 'everyone' has access.
- connect the drive to the new laptop, become administrator, and set the security so that the new laptop's user has all privileges.