"I'm sure everybody in the stadium knew what we were going to do," Williams said after the defending NFC South champions drove 80 yards in the closing minutes to beat the winless Bucs 28-21 on Sunday.
"There were times they had nine in the box," the running back added, "and we were still getting 7 or 8 yards."
A week after getting their first win over lowly Washington, the Panthers (2-3) rushed for 267 yards and three touchdowns to extend Tampa Bay's worst start in 24 years.
The Bucs (0-6) have started a season with six straight losses for the first time since 1985. They've dropped 10 in a row dating to a lopsided defeat at Carolina in December, a slide that's their longest since 1977, when Tampa Bay was in the middle of an NFL-record 26-game skid.
Williams gained a season-best 152 yards on 30 carries and scored twice, including the winning TD with 29 seconds left. The 1-yard dive capped a 16-play drive that took more than 8 minutes.
"That takes tough guys, and we try to breed that," Panthers coach John Fox said.
Delhomme, who had thrown two interceptions in the second half, only attempted one pass in the winning drive -- a 4-yarder for Steve Smith's only reception of the game.
Meanwhile, Williams carried eight times for 33 yards and Stewart gained 43 on seven attempts.
"We got overpowered at the end, and really throughout the game," Bucs rookie coach Raheem Morris said.
Carolina (2-3) squandered a 21-7 lead, giving up a 97-yard kickoff return for a touchdown in the third quarter and watching Tampa Bay tie the game on Tanard Jackson's 26-yard interception return.
But once the Panthers took the ball out of Delhomme's hands, Williams and Stewart took over. Eleven of the 15 runs on the final drive gained 5 or more yards; none of them ended with no gain or a loss.
Williams also scored on a 20-yard run in the second quarter. Stewart's 26-yard TD run put Carolina up 21-7 late in the third quarter.
Both also had big days in the last meeting between the NFC South rivals, when the Panthers ran for a franchise-record 299 yards. Heading into Sunday, Carolina was averaging 97.3 yards on the ground -- 23rd in the league.
Delhomme was 9 of 17 for 65 yards and one TD. His two interceptions helped the Bucs get back in the game, and Tampa Bay forced a third turnover when Jackson caused Stewart's fumble at the Bucs 3 in the second quarter.
The hit with 10 seconds left in the second quarter brought players from both teams off the sidelines. Wesley appeared to leave his feet and strike Smith in the upper body with his left shoulder.
Smith remained on the ground for a few minutes, then was helped to his feet and walked off the field. He missed the remainder of the game with a concussion.
"I was just trying to make a play," said Wesley, adding that he wasn't trying to hurt Smith, who was a Pro Bowl kick returner as a rookie last season.
The eighth-year pro said he hopes he doesn't draw a fine from the league.
"You can check my record. .... I've never really tried to hurt anybody. I've never tried to take a cheap shot on anybody," Wesley said.
Tampa Bay has been outscored 47-7 in the third quarter, its only points coming on Stroughter's kickoff return. ... Delhomme has thrown 10 interceptions in five games.
Giants wide receiver Odell Beckham Jr. set an NFL record for receiving yards in a player's first 16 games, surpassing the mark set by Houston's Bill Groman in the 1960-61 seasons.
More money was bet on the Jets-Dolphins game at Ladbrokes than any previous NFL game played at Wembley Stadium in London, according to a spokesman for the U.K. sportsbook.
Houston Texans running back Arian Foster played for the first time in 2015 against the Atlanta Falcons on Sunday, marking his first game action since tearing his groin Aug. 3.
Philadelphia Eagles running back DeMarco Murray, who has been hampered by a hamstring injury, was active against the Washington Redskins on Sunday.
Drew Brees told ESPN NFL Insider Ed Werder that he believes his passing shoulder is healthy and he is capable of making every throw necessary when the Saints host the Cowboys on Sunday night.
Bears quarterback Jay Cutler, who has been hampered by a hamstring injury, was active and started Sunday's game against the Oakland Raiders.