Elgin had Rabin Omar sent off for a second bookable offence just shy of the hour-mark but managed to hold out for a fine draw.
Kelty extended their unbeaten run to seven matches, but a sequence of five wins has now been followed by those two stalemates.
Annan Athletic further cemented second place with a 3-0 win at Stirling Albion, for their fourth league victory in a row.
Tommy Goss' second-half double sealed the win, after Aidan Smith had broken the deadlock just before the break.
Third-placed Forfar could not topple strugglers Albion either, for another goalless encounter.
Darren Christie snatched Stenhousemuir a 1-1 draw at Cowdenbeath, hitting the leveller in the third minute of added time.
Fraser Mullen thought his 79th-minute penalty would prove enough for Cowdenbeath, only for Christie to pop up at the death and sneak his side a point.