Melissa, your solution (as provided by Howard and Ken) is essentially what you would do when upgrading Moodle. No need to touch the mySQL database, no need to do anything with the moodledata folder. However, there may be one important piece missing, your config.php file (normally in ../public_html/moodle), which contains information about your database, and moodledata. So you might still need to rebuild this by hand, which should not be too hard.
The fresh copy of moodle will include an example of config.php that is pretty good as a starting point.