Yeah thats right!... Anyways, you can hatch your Horse Egg with Oriharukon or Laktorerium Powder. To hatch them, it depends on its critical incubation value. When the eggs critical incubation value is 2, then you need two Oriharukon or Laktorerium Powder.
When the horse Egg hatch. It becomes a baby horse and can be in your party.
You can level it up by letting it last kill the monsters.
For more informatation about Mounts you can go to the official site
www.wydglobal.com or the famous fan site
www.igamemania.com