Horse name tag is shown while riding

The typical thing to do on creative, spawn eggs, anvils, naming mobs! With the horses in snapshot, if you use a spawn egg and rename it on an anvil then spawn the horse it works! Great! But... you have your named horse and you tame it and mount it and ride round. If you look down to the ground you can see the name of the horse really big across the bottom of the screen. Everything else is great besides that. You guys have all done really well! I'm impressed =P Thanks =)