Disclaimer: I'm posting what I learned from my experience...
The way I transferred my music over from computer to Droid was the drag and drop method. I went this way and not the Widows Media Player route because for some reason not all songs where showing up there and I didn't want to deal with that mess.
What I discovered doing drag and drop is that if you just grab the whole lot from your computer at one time and take it onto the SD card there will be a lot of problems. Such as a bunch of unknown artists, songs being out of order, etc. So I then deleted everything and started over.
What I did the second time around is to -
1) Go into each artist folder on the computer and then drag and drop the individual album to the music folder on the SD card.
2) Be careful of compilations as they will all be in each artists' folder on the computer. So you have to create a new folder on the SD card named as an album, then drag and drop each song on its own from the artist folder on the computer to the album folder on the SD card. Since each song has a play order number in front of the name, I then sorted by name just to make sure that it all works ok.
Yes, this was a pain in the butt, time consuming process. But now everything is the way it should be and I am a very happy camper.