Naming machines on network.

[Chris Hoover <choover@home.com>]

I need some advise on how to name the machines on my network.  Here is
the current setup:

internet-----------machine1-----------hub------------machine2

My isp has given me a name of ci1000135-a.grnvle1.sc.home.com with a
static ip.
I also have aquired the name choover.ml.org for the same ip.

Is it possible for a machine to have more than one name (i.e. I'd like
to know machine 1 as waxman.choover.ml.org).  Also, what should I name
machine2 (I'd like tux.choover.ml.org).  I'm using ip masq. on machine 1
to hide my network which consists of private ip's (192.168.1.1
192.168.1.2).

So far, everything is working as far as internet access from both
machines.  However machine 2's mail is screwed up, and from comments an
a previous question, it looks like a naming issue.

Also, is it possible for me to set up the network where I can access
either machine from the internet?

TIA,

Chris