Last week the Rangers rallied from deficits of 1-0, 3-1 and 4-3 before tying the Capitals with 19 seconds left in regulation.
His acrobatics enabled the Rangers to rally from 3 one-goal deficits.
The Rangers, who looked as if they were in for another long night, rallied in the second behind the Czechs.
After the Yankees took an early 2-0 lead, the Rangers rallied for four runs in the fourth against John.
The Rangers rallied for four runs in the ninth for a 5-5 tie.
But Barnaby scored from a bad angle with 6.8 seconds left in the period, and the Rangers rallied.
With just 80 seconds left in regulation, the Rangers had rallied to tie the score at 3-3 and force overtime.
Although the Rangers rallied to tie the score at 2-2, they fell behind by 5-2 and went on to their second loss in a 23 games.
The Rangers had rallied to tie the score at 3-3.
It happened repeatedly in the third period, as the Rangers rallied to win for the third time after trailing through two periods.