[olug] Remote syslogging

[Chaz]

Hello, 
    My first post to the list.  Hope the format is correct.

I'm playing with syslog.  Sending messages from a couple RH 7.x to a third RH7.x machine.

The syslog server stores all messages received in /var/log/messages.

I would like to tailor the logging to something like
/var/log/machine1
/var/log/machine2
etc.
For the life of me, I cannot figure this out.

In my free time I have scoured the web looking for the answer to this.

Thanks.

Chaz