I am currently trying to configure the Virtual Host (Subdomain) of my Apache HTTP Server so it can be accessed with another computer on my LAN. The current setup of Apache with
Using a SSH + Putty tunnel, and thus having a 127.0.0.1 on my server, I managed to access my subdomains by doing the following on my server side:
# nano /etc/hosts
127.0.0.1  localhost.localdomain localhost
127.0.0.1  sub1.domain.com sub2.domain.com sub3.domain.com sub4.domain.com
I did not change the host file of the remote computer, and it works like a charm
Unless I'm missing something, you'll need to either set up DNS entries, or add entries to the /etc/hosts file of each computer accessing the server.
localhost is an entry that exists in everyone's /etc/hosts file by default, always pointing to 127.0.0.1. Without adding a /etc/hosts entry, developer.localhost doesn't exist, and prefixing an ip address with a subdomain won't work at all.
I suggest making the following change (add the ServerAlias lines):
NameVirtualHost *:50080
<VirtualHost *:50080>
    DocumentRoot "C:/www/HTTP"
    ServerName localhost
    ServerAlias cms.myserver.com
</VirtualHost>
<VirtualHost *:50080>
    ServerAdmin administrator@development.localhost
    DocumentRoot "C:/www/HTTP/development"
    ServerName development.localhost 
    ServerAlias development.myserver.com
    ErrorLog "logs/development.localhost-error.log"
    CustomLog "logs/development.localhost-access.log" common
</VirtualHost>
Restart Apache to ensure the changes take effect.
Then on your second computer you need to add a custom dns entry for these new domain names. If it is Windows, edit the file c:\windows\system32\drivers\etc\hosts. If it is Linux, edit /etc/hosts. Either way add:
10.0.0.10 development.myserver.com
10.0.0.10 cms.myserver.com
Now on your second computer you should be able to access the following URLs:
http://development.myserver.com:50080
http://cms.myserver.com:50080
For Named Virtual Hosts you need to use a hostname or domainname to connect to you apache server. It does not work with ips.
You could insert an entry in your /etc/hosts on your second system. 
Ok, I figured it out, here are the configuration if anyone else is looking for this:
==================================================================================
Machine A (Apache HTTP Server): httpd-vhost:
NameVirtualHost *:50080
<VirtualHost *:50080>
    DocumentRoot "C:/www/HTTP"
    ServerName localhost
    ServerAlias alias <!-- Added -->
</VirtualHost>
<VirtualHost *:50080>
    ServerAdmin administrator@development.localhost
    DocumentRoot "C:/www/HTTP/development"
    ServerName development.localhost
    ServerAlias development.phoenix <!-- Added -->
    ErrorLog "logs/development.localhost-error.log"
    CustomLog "logs/development.localhost-access.log" common
</VirtualHost>
hosts:
127.0.0.1 development.localhost
127.0.0.1 alias
127.0.0.1 development.alias
==================================================================================
Machine B (Guest Machine): hosts:
10.0.0.10 alias
10.0.0.10 development.alias
From the second machine, you should be able to access with "alias" and "development.alias"