Random music on my iphone that i didn't put there?

After I downloaded ios 7 and iTunes 11 all of these Barney and 60s country songs showed up on my iPhone. I had never bought or put any of these songs into my iTunes library before. I found and deleted them from my iTunes library (still unsure how they got there) and yet they're still on my phone. I would really like to get them off, but I can't delete them straight from my phone.

Goto music
Songs

Then swipe left to right (<this way) on the song. Then press delete!

You're listening to iTunes radio. They are not really on your phone, there streamed from the internet.

Same thing happened to me. I hate the songs and can't get rid of them. No more IPhones for me! It's not the ITunes radio and I can't swipe to delete them. Anyone have any suggestions?

If you see 3 dots after the title of the song, touch that. Then a drop down menu appears. One of the options is "delete".