[your24hourstore]

the database will be named the same as the sql file
so you may have to rename it to the new databases name

depending on your host the first part of the database may take 7 or 8 letters from the Domian name example if your domain is houseforsale.com

your database may need some of that to create your database, like

housefo_ the rest is a name you have selected like house so the database will look like housefo_house when you download the sql file it will look like house.sq.gz if it has been compressed using that format that file name can be changed as long as you upload a saved database that matches the database it will take it.

now you may have to change your paths in config.php because that information is not going to be correct if you have changed anything in it that it needs to find the database such as passwords or file paths.

hope it helps , but as long as you have a good saved backup in sql.gz file you can move the data, you may want to upload the vb software to the new server. then overwrite it all when you have it setup correctly with your old data
and can use the same config.php file for both databases