I have certain songs on my Apple TV, that I can't get rid of. Can I?

I'm using my new Apple TV (gen 3) with the latest software update (5.3) and it shows music that I have, but don't have on my computer anywhere. I don't want it on my Apple TV, but can't seem to get rid of it. I don't have iTunes Match, so are these songs that are just on my iCloud account since I bought them in the iTunes Store with my Apple ID? Can I get rid of these songs on my Apple TV, or from my iCloud? Thanks