Votto had a run-scoring single off Oliver Perez (6-6), then broke the game open with a two-run triple in the seventh. Right fielder Fernando Tatis dived but couldn't come up with the diving liner, allowing Votto to get his first career triple.
Ken Griffey Jr. also had a run-scoring double off Perez, who gave up three runs in six innings.
The Mets remained a game behind Philadelphia, which lost to Florida 9-5 earlier in the day. The teams will play a three-game series at Shea Stadium beginning on Tuesday.
Fogg (2-2) escaped serious damage by inducing three double plays in his six innings - just what he needed to get his first victory since April 9, when he was in his first stint in the rotation. He has overcome a demotion to the bullpen and a stint on the disabled list before settling in.
He wasn't the only one who gave the Mets fits with runners on base. New York loaded the bases with one out in the seventh, but David Wright - who was 3-for-3 with a homer at that point - and Carlos Beltran took full-count third strikes from Mike Lincoln. Those two pitches became a turning point.
Fogg started the season in the rotation but was hit hard in three starts, leading to his demotion to the bullpen. He was rarely used as a reliever, and went on the disabled list with a sore back.
Since his comeback, the right-hander has given up only five earned runs in 17 1-3 innings during three starts. Wright had three hits off him, leaving him 7-for-14 career off Fogg with three homers.
Before the game, the Reds inducted shortstop Barry Larkin, outfielder Cesar Geronimo, pitcher Joey Jay and executive Garry Herrmann into their Hall of Fame. The first pitch was 11 minutes late because the inductions went long.
Notes: The crowd of 41,959 was the Reds' fourth sellout this season. ... Surgery has been recommended for Mets OF Angel Pagan, who tore the labrum in his left shoulder on May 7. He'll get a second opinion next week. ... RH Orlando Hernandez will be examined by a foot specialist on Monday. Hernandez had soreness in his right foot while pitching in a minor league game on Thursday night. Hernandez is trying to come back from foot surgery last Oct. 18. ... Griffey's RBI double was the 1,133rd extra-base hit of his career, tying Tris Speaker for 11th on the career list. Ty Cobb is 10th with 1,140. ... Adam Dunn singled home a run, ending his all-or-nothing streak. His last six hits had been home runs. ... Jay Bruce singled in the seventh inning, extending his hitting streak to eight games.
