New install of Quicktabs - No Database Table Created

I installed quicktabs 3.1 for what I thought was the first time. (See note at bottom **)

When I looked at /admin/build/quicktabs there was a "test" quicktab, which I had never added. I thought to start over. I disabled the module. I didn't see it in the "uninstall list". I looked at the database and still saw the quicktables table. Removed it. I started again, downloaded the latest module. Enabled it, Ran update and got this error when I ran update.php.

user warning: Table 'my_database_name.quicktabs' doesn't exist query: SELECT * FROM quicktabs t__0 in /usr/www/users/expatf/sites/all/modules/ctools/includes/export.inc on line 379.

No Quicktabs table was created in Database.

When I go to /admin/build/quicktabs there is obviously no list there. I says I should create a new QT, so I do and submit etc. It returns to the main page, and still lists no quicktabs. (obviously, as there is no table)

I now used drush to disable module, and un-install it. Error pops up, "no table" but un-install successful.

I installed 6.x-2.1. Tables is now created in DB. I can see list of QTabs in /admin/build/quicktabs.

Note:**
I say, at the top, that I thought I had not installed Quicktabs (as I took over this project from someone else) and there was no quicktabs module folder in the folder list of modules.