I went down the black hole of internet searches looking for the author of this rhyme and can’t find any attribution. However, I have also seen it titled “Call Rudolph”. Parents get a good chuckle at the last line. It has been quite a few years since I have made this flannel board and I think I used clip art for the pattern to make the reindeer.
This is a popular flannel board that fits with a Christmas theme. I think I initially came across it as Sunflower Storytime. Following the train I got the pattern for Rudolph at Loons and Quines and the rhyme from Crafty Chic Mommy. As I go through the rhyme I hold up the each nose color and have the kids tell me what color it is. That child can then put the nose on Rudolph.