This is the Case tractor that has the shuttle shift mounted to the transmission. there is a 580 that has a driveshaft, but this is not tat model. Been told this is early 1960" tractor/
Welcome to HEF, Andy ! A serial number will remonve any doubt about what you have. It will also steer you to the correct parts book. Call Dale Weiss at tractorstuff.com. He can tell you more than you will ever need to know about your shuttle. http://www.e-backhoeparts.com/