I don't know any songs with my name in the title :( but here's one with my nickname as a title :D

None. Not that I know of. Lol.

I'm pretty sure I've only got "The First Noel". Although Josh Groban's Christmas CD is called Noel.

I had to Google it because I knew of no songs with my name, but I found this one. It's actually not that bad of a song.

Caroline, No - The Beach Boys
Sweet Caroline - Neil Diamond
Caroline - David Gray
Caroline, Yes - Kaiser Chiefs
Caroline - Fleetwood Mac

Of course, there's a lot more, but I'm definitely not naming all of them.