The event marks 30 years to the day of the band's iconic Alton Towers show when they played to 30,000 fans.
A handful of acts including Nile Rodgers & Chic were previously announced back in May as the festival confirmed its 2021 return
The new track also features on the Manchester trio's new remix album, 'GGP/RMX', out now on the Blue Note imprint.
The new track also features on the band's upcoming album, 'All The Colours Of You', set for release on June 4.
Scheduled for Sunday, September 26, the show forms part of the annual 'Sounds Of The City' concert series.
'Christmas Eve (Soul Purpose)' is part of the band's current double A-side single, which also features 'It's Going To Be A Cold Winter'.
The seven-date jaunt kicks off in Leeds on November 25 and wraps at London's SSE Wembley Arena on December 4 next year.
The CHIC frontman and music industry executive have been given honorary professorships by the Manchester conservatoire.
Elbow’s Guy Garvey said: “This is a simple way of looking after the very roots of British music, and will result in some joyous shows when we can at last see each...
James are a Manchester indie pop band whose career has spanned more than 30 years and are best known for their classic single 'Sit Down'.
The influential duo have already been confirmed for Coachella, Primavera Sound, and Lovebox this year.
The follow-up to 2017's acclaimed 'Crooked Calypso', the new record is released through Virgin/EMI on 6 March.
Authorised by the band, the book has been written by Liam Newton and will be released through Rocket 88 on 12 February.
The shows kick off at Belfast’s Waterfront Hall on 29 March and wrap up with two nights at London’s Eventim Apollo on 27 and 28 April.
Lost Souls, The Last Broadcast and Some Cities are out on 31 May.