Well done that your training a 2 year old! 8)
If you have a problem with loading your horse I can help if you want. Hmmmm.
First of all if your float has 2 doors. You know, one at the front and one at the back. Then open them both up. Walk your horse near the float but turn her away. Do this several times until she/he gets used to it. Each time you walk up near it get closer and closer. If she goes with you then give her a treat or nice big pat. Stand in the float showing her nothing is wrong. Then grab her and walk her in one side and out the other. Keep doing this several times as well. If she does go in then reward her then as well with a carrot or an apple. If after this and doesn't work search float help or something on the internet. Also please post back if it does work or not, because in a horse magazine there is floating help and I can tell you the method for that if you want.