Here is a bit from my program:
The gist is that you need the id for the playlist to grab the songs.
Basically you can take my code and change the where statement to .NAME +" = '"+name+"'",
private Cursor getPlaylists(String playlistId){
Cursor cursor = null;
String[] projection1 = {
MediaStore.Audio.Playlists._ID,
MediaStore.Audio.Playlists.NAME
};
cursor = this.managedQuery(
MediaStore.Audio.Playlists.EXTERNAL_CONTENT_URI,
projection1,
MediaStore.Audio.Playlists._ID+ " = "+playlistId+"",
null,
null);
startManagingCursor(cursor);
cursor.moveToFirst();
playlist_id = cursor.getString(0);
playlist_id2 = cursor.getLong(0);
if(playlist_id2 > 0){
String[] projection = {
MediaStore.Audio.Playlists.Members.AUDIO_ID,
MediaStore.Audio.Playlists.Members.ARTIST,
MediaStore.Audio.Playlists.Members.TITLE,
MediaStore.Audio.Playlists.Members._ID
};
cursor = null;
cursor = this.managedQuery(
MediaStore.Audio.Playlists.Members.getContentUri("external",playlist_id2 ),
projection,
MediaStore.Audio.Media.IS_MUSIC +" != 0 ",
null,
null);
}
cManager(cursor,2,1);
return cursor;
}