I tried it then rebooted the server.
After adding this I typed in the first domain name and it worked fine. Which is the original domain name for the server.
Here is the kicker.
When I type in the second domain name it takes me to the same location as the first domain name.
Could my problem have anything to do with the virtualhost directive in the SSL section below?
## SSL Virtual Host Context
# General setup for the virtual host
# SSL Engine Switch:
# Enable/Disable SSL for this virtual host.