mikek12004 you can't access the filesystem of another server as you where on the same one, what you can do is, suck it up and move the db and the script to your new server, which would be the easiest and fastest way to do it, move a db is really not complicated at all.
Other thing you can do is make a script in the new server that outputs the contents of the flv file as plain text (readfile or some other function, maybe you can base64+chunk_split encode it) and in your old server make a script that gets that with cURL, then save that contents as an flv file and do all the stuff you need with the script you already have.
See what suit's you best, my recommendation is the first one.