Maybin, 21, returned the baseball from the final out to a league representative, who is preserving it as a keepsake.
"When I caught it, I was thinking about how much fun today was," said Maybin, who was born 23 years after Shea opened. "The last game. The crowd was behind them the whole day. This is how you play -- it was fun. To get that last out is definitely a moment I'll always remember."
For Church, it was a frustrating experience on a day the Mets were unable to extend their season into October.
"It doesn't feel good," Church said. "I'm hurting right now. That's it.
"You put your heart into this thing. You feel heartbroken, just like the fans that are out there right now. We gave it our all. We just came up short. I had never been in this situation before. To come up just a couple runs short, it hurts."
Sunday marked a day of lasts for the famous ballpark that has given Major League Baseball so many memories.
"A lot of history is here," Maybin said. "A lot of great players have played here. I was just happy to get a chance to actually play. I was happy to be here and to be part of this team. To actually step on the field here is definitely something I'll never forget."
The answer to a trivia question of who were the final pitchers of record at Shea Stadium is: Joe Nelson ("W," Marlins) and Scott Schoeneweis ("L," Mets). The save went to Matt Lindstrom.
"Last win ever at Shea," Nelson said. "It's been a good year for us. There is no solace because we didn't make the playoffs. But yes, we prevented them from making it.
"They're in our division. We battled them all year. I know a lot of guys in that clubhouse. I know it's tough. It was within their reach. It's tough on them. But they paid us for 162 games and we're going to play every one of them hard. We started with the Mets, and we finished with the Mets."
The last home run and run scored came on an eighth-inning swing off the bat of Florida's Dan Uggla, who connected off Luis Ayala.
"I was just concentrating more on it being my first home run here, and then someone brought it to my attention that it might be the last," Uggla said. "I was just happy I hit one here before they blew it up."
The last pitch?
Officially, Lindstrom to Church.
Emotionally, it went to Hall of Famer Tom Seaver.
Capping a touching postgame ceremony, which featured New York icons ranging from Ed Charles to Robin Ventura, Seaver headed to the mound for a ceremonial last pitch.
Catcher Mike Piazza crouched behind home plate, and Tom Terrific -- with the crowd abuzz -- threw a pitch that landed about five feet in front of home plate. Laughing, the Hall of Famer grabbed his right arm as if it hurt.
Here are a number of lasts at the big Shea:
Hit: Jeremy Hermida, single in ninth.
Baserunner: Damion Easley, walk in bottom of ninth.
Home run: Uggla, top eighth.
Intentional walk: Uggla, sixth inning.
Strike out: John Baker, top ninth.
Ground rule double: Jose Reyes, bottom eighth.
Stolen base: Maybin, seventh inning.
Back-to-back homers: Wes Helms, Uggla, top eighth.
Double: Maybin, top sixth.
Mets home run: Carlos Beltran, two-run shot, bottom sixth.
Pinch-hitter: Easley, bottom ninth.
Mets win: 2-0, Sept. 27.
Sacrifice fly: Carlos Delgado, bottom first, Sept. 27.
Double play: Delgado, bottom eighth, Sept. 27.
Complete game: Johan Santana, Sept. 27.
Shutout: Santana, Sept. 27.
Hit-by-pitch: Daniel Murphy (by Ricky Nolasco), Sept. 27.
Triple: Murphy, Sept. 24.
Winning pitcher wearing No. 41: Chris Volstad, Sept. 26.