[Typo3] Problem with quickstart site / database

[Claudio]

Hi, I have moved the quickstart site (which works fine on my pc) into my ISP 
server. when I try to connect it says DATABASE ERROR, and then start 
immediately the 1-2-3-GO installation. The first step I entere login, 
password and server for my SQL database and I go to the second step without 
any problem. In the second step the tool ask for the database NAME; I have 
two options: choose an existent one or create a new one. Unfortunately my 
ISP has already created 5 database and I must use it so I cannot create, BUT 
I do not see any database in the list that the 1-2-3-GO install tool is 
showing me so I am blocked... what can I do ? Can someone help me ?
Thanks a lot

Claudio