Sometimes other Christian meanings are giving to the parts of the canes. The 'J' can also mean Jesus. The white of the cane can represent the purity of Jesus Christ and the red stripes are for the blood he shed when he died on the cross. The peppermint flavor can represent the hyssop plant that was used for purifying in the Bible.
My Mum always hung Candy Canes on the tree, there was one for each child and extras for children that came to visit throughout Christmas. She would wrap a small bit of "wax paper" around the elbow, so the sap from the tree did not stick to the Candy Cane. We also had a larger one in our little Christmas socks Everyone loves a good tasting peppermint stick or Candy cane....right, Eh.