As in, you already have the song ID's
Play // A.A. Bondy - Oh The Vampyre
Play // MMW - Whatever Happened to Gus?
Play // William Elliot Whitmore - Our Paths Will Cross Again
Play // Bright Eyes - Devil Town
Play // Bob Dylan - A Fool Such As I
In order to play a song through the Grooveshark Player, you need a song ID. To find song ID's, you need to use the TinySong API.
With a tiny bit of imagination you can see how you can combine these two APIs to create a search-and-play system. I'm going to leave that out this tutorial as that would require having a songGetter.php that is wide open on the internet. If you wanted this functionality in your app, you'd probably have it behind some internal authentication.