He also sat out 1 minute 44 seconds of overtime.
Finally the breakthrough came, at 3 minutes 35 seconds of sudden-death overtime.
But after 10 minutes 44 seconds of overtime, the Cowboys broke the tie.
What happened was that after 18 seconds of overtime, the Giants had the ball in field-goal range.
The lead changed hands five times in the last 37 seconds of overtime.
The puck went into the net at two minutes and 35 seconds of overtime, winning the game for the Kings, 6-5.
Goal and game, 4-3, for the Rangers after 16 minutes 29 seconds of overtime.
David Volek scored the winner at 5 minutes and 16 seconds of overtime.
Jones, a reserve, had played only the final 14.1 seconds of overtime.
It hit his left wrist, fell to the ice and trickled over the goal line at 10 minutes 37 seconds of overtime.