It leaves them at the bottom of the table with a crunch game against Glenfield Rovers fast approaching. Both teams sit on one point, however, Claudelands' goal difference is poor in comparison, conceding 66 so far this season.
In the men's premier league, Melville United secured a 0-0 draw against Western Springs to continue their fight for survival in the premier league. However, they remain in the drop zone with Waitakere City AFC.
Above them sit Hamilton Wanderers, who are also in danger of relegation with only Melville United and Waitakere City below them.
Ryan Verney and Kingsley Sinclair gave Eastern Suburbs a two-goal lead before Tommy Semmy hit back with a goal of his own to make it 2-1.
Minutes later, Jake Mechell added another to put Suburbs 3-1 up before Joseph Harris and Hamish Smylie pulled Wanderers level.
There was late drama however as Eastern Suburbs were awarded a penalty allowing Stephen Hoyle to secure the game for Suburbs.
In division two, Claudelands Rovers secured a 4-0 win against Oratia with Jono Viviani, Jack Marden and Harry Christensen-Rose all on the score sheet.
Cambridge FC suffered a 3-2 loss to Franklin United but remain steady in the middle of division two.
Tom Rowland is the Claudelands Rovers Premier Women's manager.