you need to know your path of your new server to point to the the database, your new servers paths are probably going to be different to your old ones, depending on what host your using obviously.
e.g.
path to old db E:\site\forum\admin\database\dbname.mdb
path to new db C:\site\root\forum\admin\database\dbname.mdb
i can see that youll need to edit the common.asp to point to the path on your new server to the db, so i dont see why you shouldnt be able to use your old database on your new server..
- edit -
i read your post wrong sorry i though you just wanted to use your old db, well thats what you have to do, you cant call it from another url with access, you will have to backup your old forum db and upload it to your new server.
Edited by thedave