The Bucs' Williams caught a deep pass for a 30-yard gain to set up the only score by either first-team offense Saturday night, while Miami's Marshall dropped both passes thrown his way in the Dolphins' 10-7 victory.
"This could be the start of something good," Williams said. "It was good to start like that."
Coach Raheem Morris agreed, calling Williams' reception "awesome."
"Seeing him get open against one-on-one coverage, which you have to do in this league, that was promising," Morris said. "I want to see more of that."
Williams is well aware he was considered a risky pick by some NFL scouts because of off-the-field issues at Syracuse.
"I try not to listen to it: `This guy is bad, he's going to ruin the team, why did you take him here?" Williams said. "I don't listen. They're going to say what they have to say. I just go out and play."
Miami's first-teamers played four series and netted only 39 yards in 15 plays with two first downs. Marshall, acquired from Denver in an offseason trade, failed to pull in a chest-high pass as he cut over the middle wide open.
"I just dropped it," Marshall said. "I get paid a lot of money to catch that. In my short time in the NFL I've caught a lot of balls, so it's nothing to panic about."
He also dropped a short pass when cornerback E.J. Biggers got a hand on the ball.
"Every time I touch the ball, I need to have it," Marshall said.
"We need to be more efficient," Henne said. "The biggest thing is being more concentrated in what we have to get done, and taking advantage of each opportunity."
It didn't help the Dolphins to run most of their plays in the mud in the first quarter. Heavy rain at the start of the game soaked the dirt infield used for Florida Marlins games.
"We definitely need to play better in those conditions," Marshall said. "Early on the elements got to us, including myself."
The Bucs' first-team offense played two series, totaling 83 yards in 12 plays with four first downs. Freeman went 4 of 4 for 53 yards, and Carnell Williams carried four times for 21 yards.
"I was very pleased with the way we ran the ball," Morris said. "I was very pleased with the way we threw, especially the first unit. And I was very pleased with the defense, the way we stopped the run. It was a pretty good day."
Bucs backup quarterback Josh Johnson went 8 of 13 for 72 yards and had two turnovers. Against Miami's first-team defense, he ran for 18 yards on a keeper on third-and-16.
Biggers had four tackles and recovered a fumble for the Bucs.
Smith, who had no interceptions as a rookie starter last year, picked off a long pass by Johnson.
Dolphins backup quarterback Tyler Thigpen went 10 of 19 for 145 yards. He directed a drive in the final minute of the first half that ended with a 33-yard field goal by Dan Carpenter, and a 61-yard march capped by Lex Hilliard's 2-yard touchdown run.
Tampa Bay had the ball inside the Miami 10 twice in the final minutes but failed to score.
Bucs starting receiver Maurice Stovall sprained his ankle in the first quarter and did not return. Morris said the injury didn't appear serious.
Tampa Bay rookie cornerback Darrell Pasco left the game with a shoulder injury.
Tom Brady has won his appeal against the NFL, with U.S. District Judge Richard M. Berman criticizing commissioner Roger Goodell for dispensing "his own brand of industrial justice."
The decision to vacate Tom Brady's suspension could impact how many games Greg Hardy plays for the Cowboys in 2015, as he will confer with the NLFPA whether to challenge his own ban in court.
Some of the former New Orleans Saints affected by the harsh sanctions of Bountygate three years ago were glad to see NFL commissioner Roger Goodell take another hit on Thursday.
With quarterback Tom Brady reinstated, the New England Patriots are once again touchdown favorites in the season opener next week against the Pittsburgh Steelers.
Redskins rookie receiver Jamison Crowder will not be suspended over allegations that surfaced in June regarding possible domestic violence, an NFL spokesman confirmed.
The Steelers need defensive linemen, but they passed on Phil Taylor because their physical showed he needs another surgery on his injured knee, the Pittsburgh Post-Gazette reported.