Appleby has progressed from stable boy and head lad to helping revive one of flat racing's superpowers.
"This is all down to Sheikh Mohammed".
"It's fantastic to be second in a Melbourne Cup, but to be second when you almost won [is hard]", Morrison said.
"I'd like to say I was going to repeat it, but it's going to be a pretty tall order".
The race was marred by the death of one of the entries, The Cliffsofmoher, who pulled up within the first 600m with a fractured right shoulder. "It's a dream. It has just been one of those fantastic years".
Worldwide or imported gallopers filled the first five placings in the Cup, with Marmelo justifying his strong support ($16 into $12) to grab second, ahead of A Prince Of Arran.
"He was very responsive and he quickened very nicely for me, I was there with 100m to go, full credit to Charlie Appleby and the team, it is a huge thrill to win Sheikh Mohammed's first Melbourne Cup".
Appleby's Melbourne Cup win came just days after he won the Breeders' Cup Juvenile Turf on Friday with Line of Duty, surviving an inquiry/objection.
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A Downing Street spokesman called the newspaper report "speculation". It said Mr Raab made the proposal to Mr Coveney in London last week.
The Melbourne Cup continued a magic year for father-of-four Appleby who has now achieved a remarkable double with the Melbourne Cup coming on top of the Epsom Derby earlier this year.
The horse's trainer, Aidan O'Brien, said he was relieved jokey Moore was unharmed.
Mcevoy gave the son of Teofilo a spark late to hit the wire in front of Marmelo, ridden by Winx's jockey Hugh Bowman, in the two-mile race.
As the remaining 23 horses passed the post, The Cliffsofmoher received medical attention before vets determined it was "unable to be saved".
An official guides the finishing horses away from the stricken The Cliffsofmoher after the running of the Melbourne Cup on Tuesday.
"I did promise a swimming pool, then Cathy and myself have been looking for a bigger house".
"We were lucky, bad with that horse breaking down", McEvoy said from the back of the four-year-old.
Winning jockey Kerrin McEvoy was also fined $3,000 for using his whip nine times before the last 100m.