Edited /etc/cat/interfaces and changed the reference to eth0 to eth1, rebooted and voila it automatically configured DHCP on its own.

christopher@ubuntu:~$ dmesg | grep eth0
[   48.816224] eth0: VIA Rhine II at 0x1e400, 00:16:35:7e:74:69, IRQ 11.
[   48.816961] eth0: MII PHY found at address 1, status 0x786d advertising 05e1 Link cde1.
christopher@ubuntu:~$ dmesg | grep eth1
[   21.396000] eth1: link up, 100Mbps, full-duplex, lpa 0xCDE1
[   42.908000] eth1: no IPv6 routers present

This shows that eth1 was configured before it took a look at eth0. Notice that the eth0 lines are the same as before.

So is the ifconfig. 

This was the change I made:

christopher@ubuntu:~$ cat /etc/network/interfaces
# This file describes the network interfaces available on your system
# and how to activate them. For more information, see interfaces(5).

# The loopback network interface
auto lo
iface lo inet loopback

# The primary network interface
auto eth1
iface eth1 inet dhcp