Assuming ubuntu installed dhclient, you just have to tell dhclient what to send. If you open /etc/dhclient.conf you should see "send host-name" commented out, just uncomment it and put in the hostname ...
Over the weekend I setup an Ubuntu 12.04 server VM. I edited /etc/network/interfaces so eth0 has a static IP address... going from memory here: netmask 255.255.255.0 ...
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