Once you have a serial number, representatives with Delta can tell you information about the month and year that your Delta machine was manufactured. The exact location of a serial number plate varies greatly from machine to machine, according to Old Wood-Working Machines, a website devoted to vintage woodworking equipment. Many Delta woodworking machines have a serial number plate riveted to the front, side or back. Without a serial number, you will need to look for several details on the machine to get an approximate age. Some Delta machines, however, have lost their serial number plates due to age and wear.