Duplicate usernames on password less scp

Hi,

I have a situation where I have the same username on more than one computer 
and they all need to run a password less rsync over ssh to the same 
destination server, and keep separate copies from each computer.

The destination machine has the pub key from each computer in the 
authorized_keys file. Each computer has a standard /home/user set up.

The idea is that the destination server keeps copies from each computer under 
the respective /home directory. 

How do I accomplish this?

Maybe with a /home/machine name instead of using the (duplicate) username? If 
so what changes do I make for this to work?

All I could find under google was the normal single username set up.

-- 

Bobby