Kendrick (6-9) ran his scoreless innings streak to 15 and tied a career high with seven strikeouts in the gem.
The right-hander set down 12 straight batters in the middle innings, surrendering only three hits while walking one.
Brown's bases-clearing double in the third inning staked Philadelphia to a 5-0 lead and he added a run-scoring single in the ninth to cap the scoring.
Michael Martinez provided a two-run homer Brian Schneider went 2-for-4 with a two-run double as the Phillies earned a split in their four-game series.
Randy Wolf (3-10) was tagged with the loss for the Brewers, coughing up five runs on 10 hits over seven full frames.