Werth stroked a one-out single off Zach Braddock (0-1), took second on a throwing error by Yuniesky Betancourt and stole third before scoring the winning run.
Gorzelanny started and went six innings for Washington, allowing two runs on five hits with four strikeouts and two walks. He serve dup a home run to Rickie Weeks, who went 3-for-5 with two RBI and two runs scored for the Brewers.
Chad Gaudin (1-1) pitched a scoreless ninth to get the win for Washington.
Brewers starter Chris Narveson went 5 2/3 innings, allowing three runs on five hits with four walks and five strikeouts.