FORT MYERS, Fla. -- It was a bit surreal for Astros prospect Koby Clemens to get the opportunity to start at first base against Josh Beckett and the Red Sox on Tuesday afternoon at City of Palms Park.

Clemens remembers City of Palms Park well from the days of his youth, when his father, Roger, was pitching for the Red Sox.

The Red Sox trained in Fort Myers for the Rocket's final four seasons with the club.

"I actually got to play here in a wooden bat world championship one time in high school, so it was cool then, too," said Koby Clemens. "It's going to be a lot of fun today. I'm just going to have a good time with it."

Roger Clemens was at City of Palms Park on Tuesday to watch Koby play. In his first at-bat, Clemens grounded out to third.

"Growing up as a kid, I remember coming to the ballpark [in Fort Myers] and watching my dad pitch," said Koby Clemens. "But more than anything, I remember going to the theme parks -- going over there. But we did a lot of stuff on the back field baseball-wise and had a lot of fun. It was just cool to be around the ballplayers and the experience."

Clemens, who was born in 1986, has fond memories of when his father played for the Sox.

"It was special. I remember the years in Boston were just phenomenal," said Koby. "We lived in Framingham. I remember going to the games, just going to the stadium, there was a different kind of smell with the meat and everything. Everything was just so great about it. I used to love watching all the games, watching Mo Vaughn and [Mike] Greenwell and all those guys. It was a lot of fun growing up being in Boston."

Adrian itching to play first game with Red Sox

FORT MYERS, Fla. -- Next week. That is when Adrian Gonzalez envisions himself playing his first exhibition game with the Red Sox, though he did leave a little wiggle room for it to be sooner.

The star first baseman, after a day off on Monday, took a full round of batting practice on Tuesday in his continued recovery from right shoulder surgery. Gonzalez first took BP on the field on Sunday morning.

"Tomorrow I'll hit again on the field if everything feels good tomorrow morning, and [we'll] see how it responds hitting back-to-back days," Gonzalez said. "Right now, the plan is to take it easy on Thursday. I don't think I'm going to be off, but I'm going to back off and give it a rest so I can start planning out for some kind of game action next week sometime -- maybe even earlier. I don't know. Maybe next week some time."

Overall, Gonzalez is encouraged by the way he is feeling.

"It feels good right now," said Gonzalez. "Today, it felt fine. I had trouble getting in a good rhythm. That happens normally during the year, too. It's batting practice -- it's not a big deal."

In fact, Gonzalez wants to make it clear that the shoulder surgery should have little to no impact on his swing.

"I mean, the one thing with this surgery, the reason I don't make a big deal out of it, is because I played with it last year," Gonzalez said. "Worst-case scenario, I'm going to be the hitter I was last year. It's not something that I lost games over and I'm trying to recover from. Surgery could get me to be 100 percent instead of 95."

In fact, the area Gonzalez will most benefit from the surgery is defense. He said that he started to shy away from diving last year.

"The biggest plan is for me to be able to dive after a ball on defense," Gonzalez said. "That's the biggest thing, because I could hit last year, no problem. But I was limited in diving. That's the biggest reason I had it. It wasn't for my hitting. After I dove three or four times and everything flared up, it wasn't feeling good. You teach yourself to stop diving."

Hall, Mills reunite with Red Sox

FORT MYERS, Fla. -- Bill Hall played just one season with the Red Sox, but it was an arrangement that worked out for both sides. With the club decimated by injuries last year, Hall stepped up and filled in at several positions. In doing so, he rebounded after a couple of tough seasons.

Hall returned to City of Palms Park on Tuesday as the starting second baseman for the Astros. When Houston was inquiring about him on the free-agent market, Red Sox manager Terry Francona gave Astros manager Brad Mills a glowing recommendation. Francona and Mills are best friends.

"Oh, he's a great guy," Francona said. "[He had a] short stay here, but we enjoyed him. He played center field, second base, shortstop, left field, right field. He played everywhere. He had the ability to hit the ball out of the ballpark. It was very valuable. He [was] highly recommended."

Mills has enjoyed his brief time with Hall, who clubbed 18 homers for the Red Sox in 2010.

"We always listen to guys like [Terry] and everything else," said Mills. "Billy has been absolutely outstanding. He's done a great job for us. He's working his tail off to come around and get everything going in the flow. He's got such a strong arm that he turns the double play well."

The Red Sox were also happy to see Mills, their bench coach from 2004-09. As Mills roamed the concourse in the morning, Dustin Pedroia mockingly hollered to security, "Usher, can you get the fan out of here!"

When Mills arrived in the visitors' clubhouse, there was a picture of Dr. Evil above Houston's lineup with the inscription, "Welcome Back, Millsy."

"They used that last year," Mills said. "I told them they need to turn the page."

Red Sox's entire 40-man roster now signed

FORT MYERS, Fla. -- The Red Sox announced on Tuesday that they've signed 15 players on the Major League roster to one-year contracts. The list is highlighted by right-handers Clay Buchholz and Daniel Bard, key pieces of the team's present and future.

Also agreeing to terms: pitchers Michael Bowden, Felix Doubront and Stolmy Pimentel; catchers Luis Exposito and Mark Wagner; infielders Lars Anderson, Jed Lowrie, Yamaico Navarro and Oscar Tejeda; outfielders Ryan Kalish, Darnell McDonald, Daniel Nava and Josh Reddick.

All 40 players on Boston's Major League roster are now signed.

Worth noting

Red Sox left fielder Carl Crawford will reunite with his former team on Thursday, when he makes the trip to Port Charlotte, Fla., to face the Rays. ... Outfielder Mike Cameron has been out of the lineup for the past couple of days due to left knee soreness. Cameron said that it's nothing serious, and he expects to DH on Wednesday night. ... In a nice pregame moment, Red Sox first-base coach Ron Johnson exchanged lineup cards with his son Chris, who started the game at third base for the Astros.