Marshall scored on a rebound 11:12 into the third overtime, giving the Devils a 2-1 victory over the Tampa Bay Lightning in Game Five of their conference semifinal series.
"Nieder shot the puck and I just kind of deflected it or whacked it," Marshall said. "Basically, I just kept whacking at it. I just took a step and fired it and it went five-hole on Grahame. My goals aren't the prettiest."
"I saw the rebound go out. Then either somebody hit my stick or somebody ran into it and my stick popped up into the air," Grahame said. "I think that's where it went. It was a bad break. My stick was out of my hands and I was trying to get over the post."
As he raced into the right corner to celebrate, Marshall was joined by his teammates. It was his third goal of the series after ending a 65-game postseason drought in Game Two.
"By far, it's the biggest goal of my career and the greatest moment; well, one of the greatest moments after winning the Cup in '99," Marshall said. "But this is awesome, too, to be able to actually help the team win."
Niedermayer had the other goal for the Devils, who await the winner of the series between the Ottawa Senators and Philadelphia Flyers in what will be their third conference finals appearance in four years.
"We'll be down to four teams. I think this is where you want to be," said Brodeur, who made 39 saves. "Now it's just one step before you play for everybody's dream."
The longest game in Lightning history also was the last of their most successful season ever. They reached the second round for the first time and had three of the five games in this series decided in the third period or overtime.
"Oh, Jesus, we've made tremendous steps," Tampa Bay coach John Tortorella said. "This is how you build. These are the steps you need to take to become an organization like we played against tonight and through this series - one of the model organizations in the league. These are the steps you need to go through."
The Lightning got no breaks in Game Five. New Jersey had all four power plays, including two in overtime. Tampa Bay also had a goal disallowed.
"That amazed me that we're such a dirty team that we gave them four power-play chances and we didn't get one for six periods," Lightning center Tim Taylor said.
Tampa Bay also could not win at New Jersey, where the Devils remained the league's only unbeaten home team at 6-0.
The Lightning had their chances after regulation. Brodeur kicked out his left pad to deny a wide-open Martin St. Louis midway through the first overtime, then came up with two big stops in the third extra period.
Brad Richards' shot from the right circle hit Brodeur in the mask and knocked him over. But he was able to get enough of St. Louis' chance on the rebound.
"The rebound was right there, but (Scott) Stevens was holding me," St. Louis said. "I had to dive to get to it and I put as much as I could on it. He had his stick in my belly and I was reaching for (the puck). I couldn't get it up, but I thought I was able to slide it underneath."
Facing elimination for the first time, Tortorella benched All-Star Nikolai Khabibulin and went with Grahame, who made 46 saves in his first start since the regular-season finale.
"He was outstanding, outstanding," Tortorella said. "Nothing else I can say. I thought he was terrific."
For the first half of the first period, the Devils looked like the team facing elimination. They were tentative and sloppy, managing just one shot on their first power play.
Tampa Bay finally took advantage at 11:18, grabbing the lead less than three minutes after killing Ben Clymer's tripping penalty.
New Jersey defenseman Scott Niedermayer was trapped deep, enabling the Lightning to break out 2-on-1. With defenseman Dan Boyle breaking down the right side, Nikita Alexeev fired a slap shot from the left faceoff circle past Brodeur's stick side.
It was the first point in 11 playoff games for Alexeev and it seemed to snap the Devils to attention.
They got another power play just 24 seconds later as Fredrik Modin was penalized for hooking and tied it with 15 seconds to go on the advantage.
Niedermayer atoned for his earlier play when he got a cross-ice pass from fellow defenseman Brian Rafalski low in the right circle. He crept toward the net, got a screen from Lightning defenseman Cory Sarich and wristed a shot inside the far goalpost for his second playoff goal.
"I don't usually end up down in the other team's zone too much. Unfortunately, they had a break because of it," Niedermayer said. "Not that I can go out there and score a goal whenever I make a mistake, but it was nice to be able to do that tonight."
The first half of the second period was played at a break-neck pace, with just one stoppage during a 7 1/2-minute stretch. Once the tempo slowed, Tampa Bay appeared to take the lead with 8:18 to go.
Off an odd-man rush, Modin had two chances stopped by Brodeur. Tied up by Rafalski at the top of the crease, Modin knocked in the puck on his third try, but replays showed he kicked it with his right skate.
"I'm trying to stop and I'm getting pulled down from behind," Modin said. "I knew the puck was there, but I'm not going to move my foot because of that. It is a forward motion of the leg, and a forward kick with the leg is apparently what makes it disallowed."
That ensured that Game Five was the third in the series that was tied after two periods.
The third settled nothing as the teams reverted to the cautious brand of hockey played in the opening period.
Patrik Elias, who ended a nine-game postseason scoring drought in Game Four, had the best chance to avoid overtime when he broke in alone on Grahame just under two minutes into the period. Trying to pick the top right corner, Elias missed the net.