Cox Plate markets have been reshuffled following the retirement of high-profile horse Carlton House.

The seven-year-old, one of four $15 equal favourites in the TAB's first market for the weight-for-age championship at Moonee Valley on October 25, will join the stallion roster at Darley Stud next month.

Dual Doncaster Mile winner Sacred Falls is now on the top line of betting at $13 alongside New Zealand mare Silent Achiever and English horse Mukhadram.

Coolmore's Adelaide has firmed from $26 to $21 with the news Australian interests have bought a half share in the Aidan O'Brien-trained four-year-old.

Adelaide runs in the Secretariat Stakes (2000m) at Arlington Park in Chicago on Sunday.

It is likely if he comes for the Cox Plate he will be under O'Brien's name and then transferred to Chris Waller.

"I'm not sure what will happen," Waller said.

"We will know more after he runs at Arlington but he would be a lovely horse to have and to take to the Queen Elizabeth next autumn.

"Sacred Falls is doing well and he will resume in the Warwick Stakes on Saturday week."

The Waller-trained Boban is a $15 chance for the Cox Plate but is no certainty to head to that race while stablemates Our Voodoo Prince and Weary are also high in betting at $21.