Scoring 32 in the Bonus Points System (BPS), the left-back produced six clearances, blocks and interceptions (CBI), along with five recoveries and a successful tackle.
Ward was also a key figure going forward, completing two dribbles and providing two open-play crosses, setting up a "big chance" for striker Sam Vokes (£5.7m) late on.
The centre-back contributed eight CBI and completed 86% of his 74 pass attempts - more than any other player at the Riverside Stadium.
Mee recorded six CBI, three recoveries and a successful tackle and has now earned bonus points in three of his last four Gameweeks.
Leadbitter's first bonus point of the season arrived courtesy of four successful tackles and having completed 90% of 63 pass attempts.
With neither side able to break the deadlock and with just five shots on target, this was a low-scoring encounter in the ICT Index.
Leadbitter topped the overall Index (6.0) with the highest Creativity score on show (38), having supplied four chances.
Meanwhile, centre-back Daniel Ayala (£4.8m) recorded the highest Threat score (42), registering three touches and two close-range shots within the Burnley penalty area.
That leaves us looking to the defence, with Gibson the prime asset following a 10th clean sheet on Saturday.
The top-scoring Middlesbrough defender by a 40-point margin, he is the only ever-present in Agnew's squad.
Burnley's rearguard also remains a source of value. With 26.3 ppm no player in any position can better goalkeeper Tom Heaton (£5.2m).
While Burnley play just seven fixtures over the run-in, Heaton remains a key figure who is again the most popular transfer target for goalkeepers ahead of a Gameweek 33 trip to Everton.