CiviCRM component pointing to different database than Joomla CMS
First - everything I suggest, do on a dev site, and make backups!

You SHOULD be able to just change civicrm.settings.php to point to @deafhhny_jmlnew@, then run the upgrade script, which upgrades the database to match the installed version.  Make sure you're logged into Joomla before you do this - going so many versions ahead, you're likely to be unable to do pretty much anything in Joomla/Civi (including log in) except go to the upgrade script page.