Changed login from EvoDragon to AndroDragon since I have the S3 instead of the Evo 4G.
Found my solution. Samsung customer service was no help, ended by saying there is no current solution to the issue. But she did say the Music Player was finding the artwork and sending it to the Gallery. What she didn't know (that I discovered) was the Music Player was storing those images in the Other folder. Deleting those files removed them from the Gallery. For now. I went into the Music Player and started playing one of the albums and the artwork did not reappear in the Other folder.
I suspect those images were created when "Synch"-ing my music to my phone through Windows Music Player. At least for now both standard apps are working as expected.
I'm glad, because in the interim I tried QuickPic, and I DID NOT like it. Glad to be back to the standard Gallery.