1) Usually User or Password is wrong (could User be in your case moodle1?)
2) Have you created that database HSumrel_moodle (or is your database HSumrel or moodle?)
3) Try to use localhost instead of mysql4.websitesource.net
i double checked the database name and its is HSumrel_moodle as you said and i even went as far as deleting it and re-creating a new one with the same name.
and lastly i did use localhost as a last attempt and that did not work either. i know the path name is right, so why isn't it working?
If host, database name, database user or database user password are correct check again that you have assigned this user with correct privileges to access database. If your server has SELinux installed and enabled you should disable it before installing moodle
If your web root is /hsphere/local/hsumrell/iaclearning.com (?) then line Data Directory should be
line Moodle Directory should be
However you could place moodledata somewhere outside webroot for security reasons...