Starting and Stopping Songs in the Middle of the Song

I'm putting together a slideshow of pictures set to music.  I'm using more than one song for the whole slideshow, and in some instances I don't want the song to start at the beginning of the song.  I've tried using the Split tool and then deleting the first part of the song.  MM does start the song where I cut it off but it moves it back to the beginning of the slideshow.  Is there some easy way to do this?   I know how to stop a song at a particular point and insert a new song at that point, but I don't always want the song to start at its beginning.

Thanks!