A moratorium is in effect on adding information from Fire and Blood until December 20th.
Honor is one of Ser Jaime Lannister's horses. Jaime dresses Honor in the colors of the Kingsguard and Glory in the colors of House Lannister.
Honor is named by Lewys Piper, one of Ser Jaime Lannister's squires. Jaime takes Honor with him to end the siege of Riverrun.