I would have thought the Yanks too, but even though they had a bunch of old fogeys, those old guys didn't have enough at bats to qualify for the batting title. You're going to have to go back a few more years. Hint: there was a former Yankee on the team we are looking for.
In light of Josh Beckett's no-hitter today it is interesting to note that it was against those 34+ year old laden Phillies. Beckett is also the owner of one of those 1hit -no walk games a few years back vs Tampa Bay.