"I get criticized when I say my team battles," Milwaukee manager Ned Yost said. "People get upset because I say my team battles all the time. So I don't know how to really put it."
With two outs in the eighth and the score 6-all, Jeff Cirillo singled on a ball just under the glove of second baseman Todd Walker. Hall followed with his 11th homer, a drive to center field off Remlinger (0-2).
"I was just expecting to drive the ball in the gap and get Cirillo some running room so he could maybe score from first," said Hall, who also had two doubles. "I was sitting on a changeup on the first pitch and I fouled it off. I was pretty upset."
After another strike, Hall took two fastballs to even the count at 2-2 and expected another changeup.
"I looked for it, got it and got the good part of the bat on it," said Hall, 8-for-16 with three homers and four RBI in the series.
Ricky Bottalico (1-1) pitched 1 1/3 innings for his first win since June 17 last year with the New York Mets, and Derrick Turnbow finished for his 12th save, giving Milwaukee a split of the four-game series. After Turnbow allowed Neifi Perez's two-out RBI single in the ninth, he retired Lee on a game-ending lineout to left.
"That's not the guy you want to be facing in that situation," Turnbow said.
Lee had three hits to raise his major league-leading average to .395 and took over the home run lead with 22. It was his fifth multihomer game this season and the 14th of his career.
"We've got to find a way to win those close games, that's for sure," Lee said. "When we get the lead late, we've got to find a way to hold it."
Chicago has lost six of its last eight games and eight of 11.
"I thought it was an out at first," Remlinger said of Hall's homer. "With the trajectory, I thought it was a line drive to center."
Milwaukee trailed 6-4 before Chris Magruder, in an 0-for-11 slide, hit a two-run single in the seventh off Will Ohman, who had just entered the game.
Chicago had gone ahead in the top of the inning on Michael Barrett's RBI double and Perez's run-scoring single.
Brewers starter Ben Sheets allowed a season-high six earned runs, giving up six runs and eight hits in 6 2/3 innings.
Lee hit a two-run homer in the first off Sheets, who has allowed homers in eight of 11 starts.
"I told Ben we were going to get him off the hook," Yost said.
- Sheets received his first no-decision of the season. He was trying to win consecutive starts for the first time since June 30-July 10.
- Rusch's last victory was June 2, a four-hit shutout at San Diego.
- Aramis Ramirez extended his hitting streak to 10 games with a single in the fourth.
- Hall has 10 doubles in June, one shy of the club record for June set by Cecil Cooper in 1983.