Oli Shaw scored his second goal in as many weeks in the 28th minute to put the Staggies ahead in front of 300 home fans, but Livingston came back fighting after the interval.
Nicky Devlin ended up being the man to save a point for the Lions, turning Scott Pittman's cross into the net.
Stuart Kettlewell made four changes to his Staggies line-up, picking the same 11 players who finished the match against Dundee United last time out as he tried to find a winning formula.
The evening got off to a cagey start though, with neither side threatening to break the deadlock.
Jay Emmanuel-Thomas had a golden opportunity to put the visitors in front in the 16th minute, when a group of Staggies defenders missed a throw-in.
That gave the Arsenal youth product time to turn and shoot – only for his effort to blaze well off-target.
There was a moment of concern for County when stand-in captain Michael Gardyne required treatment after being brought down by Devlin, but that turned to joy when Shaw scored from the dead ball.
A much brighter start to the second half brought Livingston into the game though, and their perseverance would pay off in the 55th minute.
With players out of position, he had the time to send a dangerous ball across the face of goal, where Devlin slid in to draw the Lions level.
Though the match was finely poised going into the final minutes, there were not the fireworks in front of goal that spectators may have expected 24 hours after Bonfire Night.
There was plenty of intensity, but neither goalkeeper had a save to make at the end of the match, which ended with nothing to separate the sides.