What are the names of the Reindeer, Mommy?

Middle Sis has been learning lots of new Christmas songs for her Christmas play.  Her favorite is Rudolph, so she sings it quite often.  Well, Lil Sis and Lil Bro are now singing it too!  Lil Sis was just trying to sing Rudolph the Red Nosed Reindeer and she stopped and said, "What are the names of the reindeer? Wait a minute.  It's Comer, Deutzer, Dancer, Princess, Neutzer, Comet and the most famous one of all is Rudolph the Red Nosed Reindeer had a very shiny nose...."  Hmmmmm...I can't believe I had it wrong all these years!