To get a list of drives installed, go to “My Computer,” right click on your disc drive in "folders", and go to the “Hardware tab”.  It will display the drive(s) installed on your computer (although not the drive letters).  You should see something like: “MATSHITA UJDA755z     DVD/CDRW.”

Choose Apple System Profiler from the Apple menu (Mac OS 9), or open it from the Utilities folder (Applications/Utilities) in Mac OS X.  Click the Devices and Volumes tab and locate the listing for the optical drive.  Click the disclosure triangle to the left of the device listing to get more information about it.

 

Or

In Roxio, latest versions have a "Tools" pull down window.  There you'll find "Disc and Drive Utility"  with the drive model followed by firmware version. 

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Nero Express:  Click on the "Options" button that appears on the page just after you        select the content. 

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In Nero CD-DVD Speed, the drive model and firmware version is listed on the main screen: