1) Go into phpmyadmin and copy you Joomla database as terawurfl.
2) Go into information_schema database and run the query
select concat("drop table ",table_name,";") from tables where substr(table_name,1,4) = 'jos_' and
substr(table_name,1,13) != 'Jos_terawurfl';
Note: I am assuming you are running Joomla database with prefix 'jos_', if not then change the above accordingly
3) Copy all the drop statements into clipboard.
4) Go into terawurl database and run SQL with statements copied from the clipboard. At this stage you have a database with just the terawurfl tables.
5) Now go back to nformation_schema database and run the query
select concat("drop table ",table_name,";") from tables where substr(table_name,1,13) = 'Jos_terawurfl';
6) Copy the drop statements to clipboard.
7) Now go to your Joomla database and run the SQL with statements copied from the clipboard. At this stage you have a database with just the joomla tables.
The above process would have taken out the terawurfl tables and put them in a separate database.