What one team has more than one no hitter in a season?

Answer 1

Many of them:

Tony Mullane & Guy Hecker both pitched no-hitters for the Louisville Eclipse in the AA League in 1882

Ed Morris & Frank Mountain both pitched no-hitters for the Columbus Buckeyes in 1884

Ed Seward & Gus Weyhing both pitched no-hitters for the Philadelphia Athletics in 1888

Cy Young & Jesse Tannehill both pitched no-hitters for the Boston Americans in 1904

Bob Rhoads & Addie Joss both pitched no-hitters for the Cleveland Naps in 1908

Rube Foster & Dutch Leonard both pitched no-hitters for the Red Sox in 1916

Ernie Koob & Bob Groom both pithed no-hitters for the St. Louis Browns in 1917

Johnny Vander Meer of the Reds pitched back to back no-hitters in 1938

Allie Reynolds of the Yankees pitched 2 in 1951

Virgil Trucks of the Tigers pitched 2 in 1952

Carl Erskine & Sal Maglie both pitched no-hitters for the Dodgers in 1956

Lew Burdette & Warren Spahn both pitched no-hitters for the Braves in 1960

Earl Wilson & Bill Monbouquette both pitched no-hitters for the Red Sox in 1962

Burt Hooton & Milt Pappas both pitched no-hitters for the Cubs in 1972

Nolan Ryan of the Angles pitched 2 in 1973