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Secretariat is the horse's name.
His name was Pilgrim
Pilgrim
Horse Opera
The horse's real name was Dollar, which was Wayne's horse, as opposed to using hired movie horses. On the screen I don't think the horse's name was every mentioned in the movie The Cowboys.
The black horse is a Friesian named Goliath in the movie, but his real name was Othello. The white horse with the long mane is an Andalusian horse, but I cannot find his name.
the name of harrison fords horse was dixie sun boy
The horse's name in the movie was Khartoum. The real horse head was from a meat processing/packing plant. I'm sure it did not have a name.
In the 1940 Disney movie the cat's name is Figaro
Pharaoh
Esperanza
Alexander's horse was named Bucephalus in the movie and real life