Given their first sniff of the Rabbitohs' line, Canterbury were more bloodhound than bulldog as they pounced to seize the initiative with three tries in the space of eight minutes.
Inu scored his third try for the club before another Burgess penalty turned into a Jonathan Wright try.
What was meant to be a celebration for the Burgess family - as youngest brother George entered the fray to make it three brothers in the NRL for the first time since the Hughes clan in 2001 - turned sour as he too conceded a penalty from which Ben Barba scored.
The Bunnies' contingent in the 19,439-strong crowd could hardly believe they were trailing at halftime, but another penalty just after the restart helped turn the tide Souths' way.
Martin Tapau had only just gone on when he was a little over-zealous in cleaning up John Sutton, with the Rabbitohs levelling on the next set when Sutton's kick for the in-goal was slammed down NBA-style by Farrell.
Both sides struggled to break free of the arm wrestle before Inu stepped up to end the Bunnies' charge.
-AAP