Two songs are stuck on my iPhone as alarm choices. How do I remove/replace them from that list?

So I would appear to have a limit of 5 songs to choose from on this list. I see no way to directly delete songs. The list is full and when I add a song the song at the top of the list is bumped off. But that doesn't work for getting the song choice the iPhone already had on there* or the first song I selected for the list off of the list. Why? Can they be removed and if so how?

*Apparently my alphabetically first song bought from iTunes

Nonih