I can't speak to the burned discs but I can say uNetbootin is worthless in my experience at making flash drives. I tried for a couple months on and off again in Windows and Debian. Used every program I could find, nothing worked. Finally found suggestion to use dd instead. Worked perfect and since is the only way I make bootable flash drives.

? is letter of usb stick. In my case it usually is sdg. Do not send it to sdg1 or any other specific partition. Just send it directly to the device and it works every single time. Although admittedly this requires hybrid iso's that are capable of booting usb in the first place.

Do a first to find out which drive letter is your flash drive.

My drive is not partitioned in either computer. Will the code string you gave work in a general Windows 7 OS?

Figured out what the problem is. I'm a real newbie and was loading the ISO files incorrectly. I found a page that gives excruciating detail on how to create a boot-CD and downloading ISO files is different. See here:
http://www.puppylinux.com/cd-puppy.htm

I'll get the downloader they recommend and try again. Then when I finish the whole process, I'm going to write a tutorial for the complete and utter newbie!